I’m going to assume you want to build a the regex dynamically to contain other words than part1 and part2, and that you want order not to matter. If so you can use something like this:
((^|, )(part1|part2|part3))+$
Positive matches:
part1
part2, part1
part1, part2, part3
Negative matches:
part1, //with and without trailing spaces.
part3, part2,
otherpart1