SELECT 
  p.product_id, 
  ifnull(
    count(dp.post_id), 
    0
  ) as discussion_amount_posts 
FROM 
  cscart_discussion 
  INNER JOIN cscart_products as p ON (
    cscart_discussion.object_id = p.product_id
  ) 
  INNER JOIN cscart_discussion_posts as dp ON (
    cscart_discussion.thread_id = dp.thread_id 
    AND cscart_discussion.object_type = 'P'
  ) 
WHERE 
  dp.status = 'A' 
  and p.product_id in (
    356117, 359227, 359292, 350167, 350940, 
    352035, 352746, 354264, 350874, 351272, 
    353847, 354164, 356786, 359059, 350490, 
    354138, 355700, 356771, 358492, 350153, 
    350877, 354373, 350107, 353043, 355763, 
    356235, 356729, 356882, 354807, 355854, 
    349681, 350191, 351952, 352553, 357881, 
    359100, 350711, 351238, 351466, 351490, 
    351956, 353017, 353063, 355767, 350028, 
    351230, 353612, 356950, 357344, 358081, 
    353584, 355704, 358368, 353613, 351326, 
    351854, 353449, 355920, 358883, 351893, 
    351902, 351906, 354434, 356635, 356894, 
    358817, 353894, 355224, 358402, 354579, 
    355858, 357962, 350556, 353124, 352870, 
    353751, 357281, 357870, 352738, 356044, 
    358751, 357842, 359236, 350769, 352961, 
    354903, 357746, 350988, 351112, 352338, 
    352879, 353501, 353630, 354298, 357826, 
    353453, 354602, 358074, 350409, 352863
  ) 
GROUP BY 
  p.product_id

Query time 0.00221

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "7.29"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "0.10"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "dp",
            "access_type": "index",
            "possible_keys": [
              "thread_id",
              "thread_id_2"
            ],
            "key": "thread_id_2",
            "used_key_parts": [
              "thread_id",
              "status"
            ],
            "key_length": "6",
            "rows_examined_per_scan": 19,
            "rows_produced_per_join": 1,
            "filtered": "10.00",
            "using_index": true,
            "cost_info": {
              "read_cost": "4.42",
              "eval_cost": "0.38",
              "prefix_cost": "4.80",
              "data_read_per_join": "851"
            },
            "used_columns": [
              "post_id",
              "thread_id",
              "status"
            ],
            "attached_condition": "(`webmarco`.`dp`.`status` = 'A')"
          }
        },
        {
          "table": {
            "table_name": "cscart_discussion",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "object_id"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "thread_id"
            ],
            "key_length": "3",
            "ref": [
              "webmarco.dp.thread_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 0,
            "filtered": "5.00",
            "cost_info": {
              "read_cost": "1.90",
              "eval_cost": "0.02",
              "prefix_cost": "7.08",
              "data_read_per_join": "2"
            },
            "used_columns": [
              "thread_id",
              "object_id",
              "object_type"
            ],
            "attached_condition": "((`webmarco`.`cscart_discussion`.`object_id` in (356117,359227,359292,350167,350940,352035,352746,354264,350874,351272,353847,354164,356786,359059,350490,354138,355700,356771,358492,350153,350877,354373,350107,353043,355763,356235,356729,356882,354807,355854,349681,350191,351952,352553,357881,359100,350711,351238,351466,351490,351956,353017,353063,355767,350028,351230,353612,356950,357344,358081,353584,355704,358368,353613,351326,351854,353449,355920,358883,351893,351902,351906,354434,356635,356894,358817,353894,355224,358402,354579,355858,357962,350556,353124,352870,353751,357281,357870,352738,356044,358751,357842,359236,350769,352961,354903,357746,350988,351112,352338,352879,353501,353630,354298,357826,353453,354602,358074,350409,352863)) and (`webmarco`.`cscart_discussion`.`object_type` = 'P'))"
          }
        },
        {
          "table": {
            "table_name": "p",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "age_verification",
              "status",
              "idx_parent_product_id",
              "idx_master_product_id"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "product_id"
            ],
            "key_length": "3",
            "ref": [
              "webmarco.cscart_discussion.object_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 0,
            "filtered": "100.00",
            "using_index": true,
            "cost_info": {
              "read_cost": "0.10",
              "eval_cost": "0.02",
              "prefix_cost": "7.19",
              "data_read_per_join": "760"
            },
            "used_columns": [
              "product_id"
            ]
          }
        }
      ]
    }
  }
}