Hello to all!

I have a 3 year old house with a Venmar ventilation system with a heat recovery core. It is a small house and the laundry room consists of a ventless washer/dryer combo unit (which I do not like) in a closet in the middle of the house. I would very much like to put a traditional dryer in this closet but venting it would be a very large project. The closet has a vent fan and a control. Would it be adequate to vent the dryer (with a lint trap)through the ventilation system? My washer is high efficiency and the clothes would be spun dry before going to the washer. We are a two person household.

Thank you so much for any advice.