non-involvement vs non-engagement

non-involvement and non-engagement both are nouns.

Word	Noun	Adjective	Verb	Adverb
non-involvement	Yes	No	No	No
non-engagement	Yes	No	No	No

As nouns, non-involvement and non-engagement are synonyms defined as:

non-involvement and non-engagement: withdrawing from the activities of a group

Other synonyms of non-involvement include nonparticipation.

non-involvement (noun)	non-engagement (noun)
withdrawing from the activities of a group	withdrawing from the activities of a group