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 (
    51297, 51296, 139, 51300, 51299, 51298, 
    51304, 51303, 51302, 51301, 138, 51443, 
    51309, 51308, 51307, 51306, 51305, 
    129, 51318, 51317, 51316, 51, 51319, 
    51323, 51322, 51321, 51320, 50, 51324, 
    51564, 51568, 51569, 51570, 51571, 
    51572, 51573, 51565, 51574, 51575, 
    51576, 51577, 51566, 51578, 51579, 
    51580, 51581, 51567, 51582, 51583, 
    51584, 51585, 51586
  ) 
  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 0.00156

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "72.81"
    },
    "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": 104,
      "rows_produced_per_join": 104,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51297,51296,139,51300,51299,51298,51304,51303,51302,51301,138,51443,51309,51308,51307,51306,51305,129,51318,51317,51316,51,51319,51323,51322,51321,51320,50,51324,51564,51568,51569,51570,51571,51572,51573,51565,51574,51575,51576,51577,51566,51578,51579,51580,51581,51567,51582,51583,51584,51585,51586)) 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": "62.41",
        "eval_cost": "10.40",
        "prefix_cost": "72.81",
        "data_read_per_join": "176K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}