[{"_id":1,"title":{header1:{"name":"A",age:10,"active":true},header2:{"name":"B",age:15,"active":false},header3:{"name":"C",age:20,"active":true},header4:{"name":"D",age:30,"active":true},header5:{"name":"E",age:35,"active":false},header6:{"name":"F",age:40,"active":true},header7:{"name":"G",age:45,"active":false},}}]

db.collection.aggregate([{$project:{_id:1,headers:{$filter:{"input":{$objectToArray:"$title"},"cond":{"$eq":["$$this.v.active",false]}}}}},{$project:{_id:1,title:{"$arrayToObject":"$headers"}}}])