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Is it a bolt in procedure?
No.
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Motor mounts the same?
No.
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I did some research and the engine in the car is a 4g32 and its in the 4g family so will it work
Yes, with a welder and 30 case of Keystone. The 4g32 has no direct relation to the 4g63. The "4" designates the number of cylinders, the "3"(in 4g32) or "6"(in 4g63) designates the engine family and the "2" or "3" designates something that only Mitsubishi knows and as far as we know it relates to nothing important other than to distinguish between engines of sometimes varying displacement/stroke/bore and sometimes varying deck height and so forth. Your 4g3X engine may share the same bell-housing pattern as the 4g6X family of engines but likely nothing else.
This swap would require fabrication.