Database

[{_id:"1",orderid:1,productName:"Iphone 13"},{_id:"2",orderid:1,productName:"Xiaomi 11"},{_id:"3",orderid:1,productName:"Pocophone F1"},{_id:"4",orderid:1,productName:"Samsung S22"},{_id:"5",orderid:2,productName:"Iphone 13"},{_id:"6",orderid:2,productName:"Xiaomi 11"}]

Query

db.collection.aggregate([{"$group":{"_id":"$productName","orderids":{"$push":"$orderid"}}},{"$match":{"$and":[{"orderids":1},{"orderids":{"$ne":2}}]}},{"$project":{"_id":0,"name":"$_id"}}])

Result