Well theres mechanics that come into play. If its a cheap inline fan like a $20 one then most likely its a passive inline fan, those are usually used in where theres alot of ducting (in grow rooms and air conditioning and what not.) and they attach those into the middle or other areas of the ducting to help move air but they are not the stronger expensive ones that push the air. Keeping that in mind along with Co2 being heavy and having that carbon filter connected to the outvent which is also gonna hinder the fans power to exhaust. That could by why the room still has a high co2 level, but its just a guess
What kind of filter is it by chance? How much CFM does the fan push?