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 (
    24324, 24325, 24330, 24331, 24332, 24333, 
    24335, 24338, 24339, 18577, 10054, 
    19406, 18708, 18710, 18711, 18712, 
    18938, 18944, 23233, 23234, 23237, 
    7030, 7458, 12509
  ) 
  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 0.00075

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_seo_names",
          "access_type": "range",
          "possible_keys": ["PRIMARY", "dispatch"],
          "key": "PRIMARY",
          "key_length": "210",
          "used_key_parts": [
            "object_id",
            "type",
            "dispatch",
            "lang_code",
            "company_id"
          ],
          "rows": 48,
          "filtered": 100,
          "index_condition": "cscart_seo_names.object_id in (24324,24325,24330,24331,24332,24333,24335,24338,24339,18577,10054,19406,18708,18710,18711,18712,18938,18944,23233,23234,23237,7030,7458,12509) 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)"
        }
      }
    ]
  }
}

Result

product_id seo_name seo_path
7030 almaznyy-top-dlya-gel-laka-global-fashion-bez-l.sh.-12-ml-en 387/493/500
7458 almaznyy-top-starlet-50-ml-en 387/493/500
10054 baza-dlya-gelya-dis-base-15-ml 387/844
12509 gel-lak-dis-diamond-cat-eyes-04-7-5-ml-en 387/844/755
18577 dekor-dlya-dizaynu-lancyuzhok-metaleviy-gold-zoloto-en 387
18708 baza-dlya-gel-laku-fox-spectrum-bubber-base-055-14-ml-en 387/479/481
18710 baza-dlya-gel-laku-fox-spectrum-bubber-base-065-14-ml-en 387/479/481
18711 baza-dlya-gel-laku-fox-spectrum-bubber-base-067-14-ml-en 387/479/481
18712 baza-dlya-gel-laku-fox-spectrum-bubber-base-070-14-ml-en 387/479/481
18938 gel-lak-dark-154-8-ml-en 387/833/837
18944 gel-lak-dark-162-8-ml-en 387/833/837
19406 baza-dlya-gel-laku-fox-air-base-strong-15-ml-en 387/479/481
23233 gel-lak-vitrazhniy-dark-vitrage-001-rozheviy-6-ml-en 387/833/1169
23234 gel-lak-vitrazhniy-dark-vitrage-002-persikoviy-6-ml-en 387/833/1169
23237 gel-lak-vitrazhniy-dark-vitrage-005-sangriya-6-ml-en 387/833/1169
24324 gel-lak-dlya-nigtiv-youarecute-color-94-5-ml-en 387/1192
24325 gel-lak-dlya-nigtiv-youarecute-color-95-5-ml-en 387/1192
24330 gel-lak-dlya-nigtiv-youarecute-color-100-5-ml-en 387/1192
24331 gel-lak-dlya-nigtiv-youarecute-color-101-5-ml-en 387/1192
24332 gel-lak-dlya-nigtiv-youarecute-color-102-5-ml-en 387/1192
24333 gel-lak-dlya-nigtiv-youarecute-color-103-5-ml-en 387/1192
24335 gel-lak-dlya-nigtiv-youarecute-color-105-5-ml-en 387/1192
24338 gel-lak-dlya-nigtiv-youarecute-color-109-5-ml-en 387/1192
24339 gel-lak-dlya-nigtiv-youarecute-color-110-5-ml-en 387/1192