If you rent furniture or appliances and then do not pay the monthly rental or rent to own payments to the places such as Rent A Center or other rental places then they will call you and let you know that you are behind on payments.
Then they will usually give you a certain amount of time to pay the monthly payments and other late fees owed for the furniture.
Then if you do not pay the money owed to them for the furniture then they will show up at your door and be ready to take the furniture back with them for non payment.
The rental places can legally take the furniture and appliances or whatever you're buying from them back because until you pay the full price for the furniture or appliances or whatever it is you buy from them then the rental place still owns the property.
So if you do not pay for the furniture you rent to own you can expect to get the furniture taken away from you.