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 (
    128, 51118, 51117, 51116, 51115, 51114, 
    51113, 51165, 51164, 51163, 51162, 
    51161, 52, 51183, 20, 51188, 51187, 
    51186, 51185, 51184, 51194, 51193, 
    51192, 51191, 51190, 51189, 19, 51201, 
    51200, 51199, 51198, 51197, 51196, 
    51195, 131, 111, 51212, 144, 51215, 
    51214, 51213, 51444, 51445, 51446, 
    51447, 51220, 51219, 51218, 51217, 
    51216, 146, 51448, 51449, 51231, 51230, 
    51229, 51228, 51227, 51226, 51225, 
    109, 51243, 51242, 51241, 51240, 51239, 
    36, 51253, 51252, 51251, 51250, 51249, 
    34, 51273, 147, 51277, 51276, 51275, 
    51274, 9, 59, 60, 13, 51346, 118, 114, 
    84, 51347, 85, 61, 51350, 123, 15, 95, 
    51352, 51351, 96, 89, 51390, 51391, 
    51392, 51393, 51394
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00201

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "144.21"
    },
    "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": 206,
      "rows_produced_per_join": 206,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (128,51118,51117,51116,51115,51114,51113,51165,51164,51163,51162,51161,52,51183,20,51188,51187,51186,51185,51184,51194,51193,51192,51191,51190,51189,19,51201,51200,51199,51198,51197,51196,51195,131,111,51212,144,51215,51214,51213,51444,51445,51446,51447,51220,51219,51218,51217,51216,146,51448,51449,51231,51230,51229,51228,51227,51226,51225,109,51243,51242,51241,51240,51239,36,51253,51252,51251,51250,51249,34,51273,147,51277,51276,51275,51274,9,59,60,13,51346,118,114,84,51347,85,61,51350,123,15,95,51352,51351,96,89,51390,51391,51392,51393,51394)) and (`test_uchur_k`.`cscart_seo_names`.`type` = 'p') and (`test_uchur_k`.`cscart_seo_names`.`dispatch` = '') and (`test_uchur_k`.`cscart_seo_names`.`lang_code` = 'ru') and ((`test_uchur_k`.`cscart_seo_names`.`company_id` = 1) or (`test_uchur_k`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "123.61",
        "eval_cost": "20.60",
        "prefix_cost": "144.21",
        "data_read_per_join": "349K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}