It is not known how much time they have to take the car away from you. They might just be giving you some time so that you can complete the payment. You should get in touch with them to find out if you can continue making your payments or not, so that you can be sure about what to do next.
I would call the finance company and try to finalize this. Usually they hold the title until the note is paid off. You won't have the title if you need sell the car, or if you were in an accident. If it were me, I'd want to finalize this so I would have a clear title.