Once the door panel is off, the plastic clips just slide into a 'key-hole' slot in the backside of the panel.
The 'hidden' plastic fastener clips can be purchased at most any auto parts store, or of course an auto salvage / junk yard.
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In a 1996 Ford Taurus ( 5W-30 ) according to the Owner Guide
Check and possibly replace door hinges
Ask at an auto parts store.
According to the 1996 Ford Taurus Owner Guide : ( 16.0 U.S. gallons )
with a flat screwdriver pop the clips off of the top and bottem and they come right off, replacing is easier just position the part in place and snap the new clips on