carry on vs maintain

carry on and maintain both are verbs.

Word	Noun	Adjective	Verb	Adverb
carry on	No	No	Yes	No
maintain	No	No	Yes	No

As verbs, maintain is a hypernym of carry on; that is, maintain is a word with a broader meaning than carry on:

Other hypernyms of carry on include hold, keep.

carry on (verb)	maintain (verb)
continue talking	stick to correctly or closely
direct the course of; manage or control	state categorically
misbehave badly; act in a silly or improper way	state or assert
keep or maintain in unaltered condition; cause to remain or last	support against an opponent
	maintain by writing regular records
	supply with necessities and support
	keep in safety and protect from harm, decay, loss, or destruction
	have and exercise
	maintain for use and service
	cause to continue in a certain state, position, or activity