The traditional rule with ' and ' is that you should use a comma if the subject in the second clause is different from that in the first clause, but you should not use one if the second clause uses the same subject (usually not repeated). So, in your sentences where the subject (he) is the same, it's wisest not to use a comma. However, with the conjunction ' but ', a comma is required.
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BillJAlthough the subject ('he') and the verb ('stated') are omitted, they are what are known as 'elided', (left out to a