I've been recently confused as to whether it is appropriate to use commas in this sentence form:

"Jill and Cory each had their own theories about what had happened, and neither of them were pleasant."

Is this comma correct?
SpeteIs this comma correct?
Yes. Some grammarians will require 'his own theory' and 'neither...was'.
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Thanks for your answer, Micawber.

Just to clarify, is this because "neither of them were pleasant" is a main clause?
The rule I'm looking at says to separate main clauses linked by a coordinating conjunction with a comma. So this would make sense Emotion: smile