enlist vs engage

enlist and engage both are verbs.

Word	Noun	Adjective	Verb	Adverb
enlist	No	No	Yes	No
engage	No	No	Yes	No

As verbs, enlist and engage are synonyms defined as:

enlist (verb)	engage (verb)
join the military	get caught
engage somebody to enter the army	consume all of one's attention or time
hire for work or assistance	give to in marriage
	keep engaged
	engage for service under a term of contract
	hire for work or assistance
	ask to represent; of legal counsel
	engage or hire for work
	carry out or participate in an activity; be involved in
	carry on (wars, battles, or campaigns)