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Did you replace the ignition switch itself?
The only things that can do this is the ignition switch or the start relay sticking. I would just try another relay and if it still dos it, replace and adjust the ignition switch. Here's a schematic of the whole system:
Heres a close up of the relay wires:
It does not have to be bolted for ground as it gets ground from the neutral safety switch.
Sorry for the delay...
Do you have a test light or voltmeter?