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 (
    353188, 353318, 353331, 353617, 355564, 
    355846, 356171, 357164, 358109, 358551, 
    359221, 350136, 350192, 351120, 351320, 
    352533, 352856, 355248, 356333, 356751, 
    357198, 357353, 357669, 349871, 349936, 
    350304, 350336, 350478, 352942, 359007, 
    359070, 349971, 350141, 350173, 351410, 
    352752, 353252, 353945, 354249, 358936, 
    350090, 350297, 352128, 354231, 354565, 
    357954, 350275, 354640, 356880, 356885, 
    351582, 352247, 353247, 356226, 349967, 
    351680, 354699, 354757, 359389, 350367, 
    351674, 352538, 354320, 354556, 354711, 
    355153, 355407, 356163, 356236, 356301, 
    356505, 351574, 353267, 353339, 354195, 
    355279, 355870, 357005, 357564, 358180, 
    359182, 352545, 353292, 356837, 353325, 
    353484, 353766, 357084, 351511, 352208, 
    352677, 353218, 355864, 356690, 357711, 
    350036, 350503, 351579, 355538, 355784
  ) 
GROUP BY 
  p.product_id

Query time 0.00091

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 (353188,353318,353331,353617,355564,355846,356171,357164,358109,358551,359221,350136,350192,351120,351320,352533,352856,355248,356333,356751,357198,357353,357669,349871,349936,350304,350336,350478,352942,359007,359070,349971,350141,350173,351410,352752,353252,353945,354249,358936,350090,350297,352128,354231,354565,357954,350275,354640,356880,356885,351582,352247,353247,356226,349967,351680,354699,354757,359389,350367,351674,352538,354320,354556,354711,355153,355407,356163,356236,356301,356505,351574,353267,353339,354195,355279,355870,357005,357564,358180,359182,352545,353292,356837,353325,353484,353766,357084,351511,352208,352677,353218,355864,356690,357711,350036,350503,351579,355538,355784)) 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"
            ]
          }
        }
      ]
    }
  }
}