I just put a new starter and battery because I was suspecting the starter and battery to be both problems.

Now, for sure, the starter was faulty. The battery, maybe at fault also in very hot climate as Vegas (battery only 18 months old).

The voltage box has been replaced last year.

Now, the problem:

The car starts fine but sometimes when the ignition goes to start, it "click,click,click. I close the switch and start again and it goes fine.

I checked the terminal that goes to the selenoid. the connector was loose. I replaced the connector. The problem is still there.

Further examination of the new starter let me come to this question:

The wire from the starter to the selenoid has a section where the wire is bared at the base of the starter housing. Could it be the source of the problem?

All connections are tight, other connections to the starter have been redone with new connectors and wires as needed.

The cars starts fine on a nine on ten scale.

Where must I follow my investigation to solve this problem?

The car starts fine but sometimes when the ignition goes to start, it "click,click,click. I close the switch and start again and it goes fine.

I'd say it's either a problem with the starter solenoid or a loose battery cable.