SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    427, 408, 382, 400, 424, 381, 1529, 1465, 
    428, 391, 406, 390, 393, 394, 396, 397, 
    398, 399, 434, 383, 412, 432, 384, 395, 
    385, 405, 1937, 425, 407, 389, 402, 388, 
    409, 404, 387, 386, 441
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00126

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "177.61"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 74,
      "rows_produced_per_join": 74,
      "filtered": "100.00",
      "index_condition": "((`eshopuga_upgr_4122`.`cscart_seo_names`.`object_id` in (427,408,382,400,424,381,1529,1465,428,391,406,390,393,394,396,397,398,399,434,383,412,432,384,395,385,405,1937,425,407,389,402,388,409,404,387,386,441)) and (`eshopuga_upgr_4122`.`cscart_seo_names`.`type` = 'p') and (`eshopuga_upgr_4122`.`cscart_seo_names`.`dispatch` = '') and (`eshopuga_upgr_4122`.`cscart_seo_names`.`lang_code` = 'en') and ((`eshopuga_upgr_4122`.`cscart_seo_names`.`company_id` = 1) or (`eshopuga_upgr_4122`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "162.81",
        "eval_cost": "14.80",
        "prefix_cost": "177.61",
        "data_read_per_join": "125K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}