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well yes "air out a room" makes sense and is what we would say. usually if there is a reason the room needs air (it smells, its smokey), conversationally, you usually wouldn't say "air out the room", you'd just say "open some windows" or whatever needs to be done. it wouldn't be wrong though. "air the room" doesn't sound right, we don't use that expression.
air a room 
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