Can I get out of my current loan for a lease?

[Outdoorstech1]

I have a 2012 Hyundai Veloster I pay $432 per month. It was a 72 month loan I have 42 payments left. The payoff is $16,484.  I've done some research and the car is only worth like $11,000 - $12,000 trade in. 

Should I just keep it and make the payments or try and look for a new car. I want to start off fresh and get a lease so I can start getting a new car eery 3 years and not be in the hole like this. I get an itch to get a new car every few years. I would have $3,000 towards a down payment. My FICO is at 672. 

[Hoya08]

It appears your pay-off balance is consistent with the current vehilce retail value.  If you sell privately, you shouldn't be "in the hole".  If you trade-in, you'll have to pay off the negative equity. 

And, as a personal opinion, don't put a down payment on a lease.  Get GAP insurance instead.