campaigning vs political campaign

campaigning and political campaign both are nouns.

Word	Noun	Adjective	Verb	Adverb
campaigning	Yes	No	No	No
political campaign	Yes	No	No	No

As nouns, campaigning and political campaign are synonyms defined as:

campaigning and political campaign: the campaign of a candidate to be elected

Other synonyms of campaigning include candidacy, candidature, electioneering.

campaigning (noun)	political campaign (noun)
the campaign of a candidate to be elected	the campaign of a candidate to be elected
	a race between candidates for elective office