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 (
    51165, 51164, 51163, 51162, 51161, 52, 
    51169, 51168, 51167, 51166, 90, 51171, 
    51170, 51176, 51174, 51173, 51172, 
    91, 51182, 51180, 51179, 51178, 51177, 
    93, 51183, 20, 51188, 51187, 51186, 
    51185, 51184, 51194, 51193, 51192, 
    51191, 51190, 51189, 19, 51201, 51200, 
    51199, 51198, 51197, 51196, 51195, 
    131, 51564, 51568, 51569, 51570, 51571, 
    51572, 51573, 51566, 51578, 51579, 
    51580, 51581
  ) 
  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 0.00111

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "81.21"
    },
    "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": 116,
      "rows_produced_per_join": 116,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51165,51164,51163,51162,51161,52,51169,51168,51167,51166,90,51171,51170,51176,51174,51173,51172,91,51182,51180,51179,51178,51177,93,51183,20,51188,51187,51186,51185,51184,51194,51193,51192,51191,51190,51189,19,51201,51200,51199,51198,51197,51196,51195,131,51564,51568,51569,51570,51571,51572,51573,51566,51578,51579,51580,51581)) 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": "69.61",
        "eval_cost": "11.60",
        "prefix_cost": "81.21",
        "data_read_per_join": "196K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}