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I think when you’re saying computer, you’re thinking of a tune. That might increase power, but I think it might be more physical than that. With a Super Crew, the truck’s overall extra weight...

You’re confusing GVWR with towing capacity. It should be able to tow more than 7,200 lbs.

https://www.fordf150.net/2009/2009-ford-f150-specifications.php