What if you have a sealed room an you clean your air with a carbon filter and pump it back into the room?
Pumping c02 into the room and wont want it to escape
Ah ok, this is actually quite a challenge.
Since you do not need to have an external air intake, you will want to place the carbon filter as high as you can and use the smallest fan possible while still creating a negative air pressure. You will want to direct your co2 to drain al the lowest point in the room, and since co2 is heavier than air it will fill up the air at the bottom of the room while slowly being sucked out the top.
If i were you i would time my co2 injections so that first the exhaust fan shuts off, the co2 turns on and stays on for about an hour or so...how ever long you can manage to keep it off without the smell becoming too much of a problem. You will also want to shut off any air circulation fan for maybe the first 30 minutes of co2 injection, not too long tho because u dont wanna burn leaf tips and raise the temps too much...remember hotter temps, more smell.
Basically you will think of your carbon filter and exhaust as only providing scent removable, not a component of the air circulation since your co2 injection defeats the need for external intake and exhaust.
EDIT: The other user is right about the recirculating fan, that will eliminate the need for an exhaust. though be careful as I know of people who have experienced problems with their grow room having a natural positive air pressure, or negative most of the time but suddenly goes positive when someone opens the front door, safest best is the system i just described above but if you are in an air pressure neutral environment like a basement then you might be able to get away with just recirculating the air in the room through an activated carbon filter.