Engine rattle at cold start
assuming the problem isn't internal, check all of the pulleys associated with the serpentine belt.
Does this vehicle use lots of engine oil?
I think you have to check your oil control solenoid, sometimes when they are weak they can't hold the oil. It let the oil escape from the vvt actuator which supply oil to the cams. So when you starts the car, the cams have to wait for oil from the oil pump to lubricate the cams
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