I have a small closet that doubles as a laundry room, with a stacked washer and dryer. It's also where I keep my cat's litter box.
It occurred to me that I could probably reduce the odor of the litter box by ventilating the litter box out through the dryer's exhaust duct.
I envision something like this, with an inline exhaust fan forcing air out of the house:
However, I want to avoid pumping the fouled air into the dryer (now that I realize it's been drawing in this air the whole time). Is there a best place to install the tee fitting / fan to avoid this? Would I need to run two exhaust fans?