It sounds like is coming from inside the car, could it be the muffler? or something else?
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2006 Chevrolet Malibu Question: My car makes a loud sound when I accelerate?
Answer #1patrick mannion from Greg Solow's Engine Room, February 18, 2012, 22:18Master
It could be many things, unfortunately and without hearing the noise first hand or being able to do some basic diagnostic tests or be able to drive the car, its hard to say what the source of the noise may be. It is likely to be a bad exhaust.