The A-10 GAU-8 gun does not dump spent shell casings overboard.
It has a drum magazine that is a continuous loop. Live rounds come out one end and the spent casings go back in the other end. This is also the case for the 20mm M61 Vulcan used in most US fighters since the F-104.
A-10 GAU-8 Gatling:
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<F-16 M61 Vulcan:![]()
Wow! I had no idea the size of the gatling gun onboard the A10. It looks like the majority of the space in the fuselage is dominated by it.