Can I sell a car even though it still has finance on it?

Did you get the loan through the bank? Normally if you get a private loan (loan for personal use), the loan is used to pay the vehicle in full and you just make regular payments to the bank. The car is then legally yours although you are legally bound to pay back the loan offered to you by the bank. Under these circumstances, you can sell the car.

However if you got finance, say, through the car dealer, then the car is still owned by the dealer until you have paid off the total for the car. So what kind of agreement was in place to purchase the car in the first place?