The GFCI device senses the current going out on the hot leg and returning on the neutral. If they are not equal, current is leaking to ground, and the device cuts out. Where your landscape lights are concerned, the neutral wire is probably broken, so to make the lights work, he just connected the bare ground as a neutral replacement. That circuit won't work on a GFCI device as there would always be leakage into ground on the bare wire, causing an imbalance. It is also a potentially dangerous situation for anyone that may touch one of these fixtures. If they happen to be touching anything that is better grounded than the ground wire, they could become part of the circuit.
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