Don't know for certain about the '09, but on my '02, the lights turn off
after a short period of time. I've never timed it, but it seems to be less
than a minute.
You could always turn yours on, get out of the SUV and wait and see. The
lights being on for 2 or 3 minutes isn't going to hurt your battery, and it
will probably be less time than that if they do automatically shut off.
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