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So is the engine turning over or just the starter?

Check ignition switch by putting a testlight or multimeter on the start wire that goes to the starter. I would check it at the starter with the wire still connected. Turn the key 20 or so times and see if the testlight lights up even when the starter fails.

Is it a job for an Auto Electrician? No I would say anyone who can stop and think about how it should work can do it. I am sure even your mechanic wizz could do it. He just has to stop and think this time.