If it's a stock electrical system check the relay under the dash...it may be stuck or about to be...beware that it may stick on and keep turning over the engine until the batteries die or it catches fire if it starts...search here for doghead mod it'll show where the relay is.
It isn't the current which kills starter relays, it is the back current which arcs contacts to an early grave. The current flowing through a solenoid coil creates a magnetic field. When that current is interrupted, the collapse in the magnetic field causes a reverse current, much stronger than the original. The original starter solenoid has a small diode which is supposed to stop this back current. But age and repeated use can cause it to fail open, allowing the back current to arc weld the contacts. This failed diode has no symptoms. Caveat detonator. Watch out for things that go boom.
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