"I have seen some leases include the requirement of the changing furance filter and if not and causes damage to the furance it will be fixed at the expense of the tenant."
It is one thing to be right and another thing to get the tenant to repair or replace your furnace. You either have to let the unit sit vacant while you argue it out in court or go ahead and pay the repair. After the place sits vacant waiting for the tenant to pay you may lose in court. A landlord just is not able to make a tenat take care of the furnace, AC, hot water and the like.