SELECT 
  cscart_products_categories.product_id, 
  GROUP_CONCAT(
    IF(
      cscart_products_categories.link_type = "M", 
      CONCAT(
        cscart_products_categories.category_id, 
        "M"
      ), 
      cscart_products_categories.category_id
    )
  ) AS category_ids, 
  product_position_source.position AS position 
FROM 
  cscart_products_categories 
  INNER JOIN cscart_categories ON cscart_categories.category_id = cscart_products_categories.category_id 
  AND cscart_categories.company_id = 1 
  AND (
    cscart_categories.usergroup_ids = '' 
    OR FIND_IN_SET(
      0, cscart_categories.usergroup_ids
    ) 
    OR FIND_IN_SET(
      1, cscart_categories.usergroup_ids
    )
  ) 
  AND cscart_categories.status IN ('A', 'H') 
  LEFT JOIN cscart_products_categories AS product_position_source ON cscart_products_categories.product_id = product_position_source.product_id 
  AND product_position_source.category_id = 351 
WHERE 
  cscart_products_categories.product_id IN (
    425, 407, 323, 389, 402, 388, 426, 409, 
    404, 325, 387, 386, 416, 326, 441, 322
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00466

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "159.78"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "9.71"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "ALL",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "rows_examined_per_scan": 115,
            "rows_produced_per_join": 2,
            "filtered": "2.00",
            "cost_info": {
              "read_cost": "27.56",
              "eval_cost": "0.46",
              "prefix_cost": "28.02",
              "data_read_per_join": "6K"
            },
            "used_columns": [
              "category_id",
              "company_id",
              "usergroup_ids",
              "status"
            ],
            "attached_condition": "((`eshopuga_upgr_4122`.`cscart_categories`.`company_id` = 1) and ((`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids` = '') or find_in_set(0,`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids`) or find_in_set(1,`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids`)) and (`eshopuga_upgr_4122`.`cscart_categories`.`status` in ('A','H')))"
          }
        },
        {
          "table": {
            "table_name": "cscart_products_categories",
            "access_type": "ref",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id"
            ],
            "key_length": "3",
            "ref": [
              "eshopuga_upgr_4122.cscart_categories.category_id"
            ],
            "rows_examined_per_scan": 40,
            "rows_produced_per_join": 9,
            "filtered": "10.55",
            "index_condition": "(`eshopuga_upgr_4122`.`cscart_products_categories`.`product_id` in (425,407,323,389,402,388,426,409,404,325,387,386,416,326,441,322))",
            "cost_info": {
              "read_cost": "92.00",
              "eval_cost": "1.94",
              "prefix_cost": "138.42",
              "data_read_per_join": "155"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        },
        {
          "table": {
            "table_name": "product_position_source",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id",
              "product_id"
            ],
            "key_length": "6",
            "ref": [
              "const",
              "eshopuga_upgr_4122.cscart_products_categories.product_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 9,
            "filtered": "100.00",
            "cost_info": {
              "read_cost": "9.71",
              "eval_cost": "1.94",
              "prefix_cost": "150.08",
              "data_read_per_join": "155"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "position"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids position
322 373,376,370,349M,356,358,374,371,352,351,341,342,377,344,338,354,339,372,375,355,357,378,353,350,345,369 0
323 355,357,353,350,349M,356,358,352,351,354 0
325 355,357,353,350,349M,356,358,352,351 0
326 363,378,382,389,362,393,381,361,369,373,390,376,380,395,355,357,370,353,350,388,392,374,379,371,359,368,386,360,377,394,349M,372,391,354,356,358,385,352,351,375,384,396,383 0
386 354,356,358,352,351,345,337M,355,357,353,350,340,341,342,344,338,339,343,349,347 0
387 349,347,354,356,358,352,351,345,337M,355,357,353,350,340,341,342,344,338,339,343 0
388 344,338,385,339,384,343,383,363,382,362,349,381,361,347,354,356,358,352,351,345,380,379,337M,359,368,386,360,355,357,353,350,340,341,342 0
389 353,350,340,375,341,342,344,338,385,339,378,384,343,369,383,373,382,349,381,347,376,354,356,358,370,352,351,345,380,374,371,377,379,337M,372,386,355,357 0
402 337M,396,355,357,353,350,340,393,341,342,363,344,338,339,390,362,343,361,395,349,388,347,392,354,356,358,352,351,345,394,359,368,360,391 0
404 337M,355,357,353,350,340,341,342,344,338,339,343,349,347,354,356,358,352,351,345 0
407 352,351,379,394,345,359,368,386,360,391,396,385,337M,384,393,355,357,383,363,353,350,382,390,362,340,341,381,361,342,344,338,395,339,343,388,392,380,349,347,354,356,358 0
409 349,347,354,356,358,352,351,345,337M,355,357,353,350,340,341,342,344,339,343 0
416 343,349,394,359,368,354,356,358,360,391,352,351,345,396,393,363,337M,390,362,361,355,357,338,395,353,350,340,341,388,342,392,344,339 0
425 340,341,342,344,339,343,347,349,354,356,358,352,351,345,337M,355,357,338,353,350 0
426 355,357,338,372,353,350,340,379,341,342,375,344,386,339,343,378,349,373,385,384,354,356,358,376,383,352,351,345,370,382,381,374,371,337M,377 0
441 371,337M,355,357,338,372,353,350,340,341,347,342,359,368,344,339,360,369,343,349,384,354,356,358,383,363,352,351,345,370,382,362,381,361,380 0