Database
[{"date":ISODate("2023-02-01"),"value":[{"key":"123","price":100},{"key":"234","price":100}]},{"date":ISODate("2023-02-02"),"value":[{"key":"123","price":100},{"key":"234","price":100}]},{"date":ISODate("2023-02-03"),"value":[{"key":"123","price":100},{"key":"234","price":100}]}]
Query
db.collection.update({"date":{$gte:ISODate("2023-02-02")}},[{$set:{value:{$filter:{input:"$value",as:"v",cond:{$in:["$$v.key",["123"]]}}}}}],{multi:true})