hang in vs carry on

hang in and carry on both are verbs.

Word	Noun	Adjective	Verb	Adverb
hang in	No	No	Yes	No
carry on	No	No	Yes	No

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

Other hypernyms of hang in include bear on, continue, preserve, uphold.

hang in (verb)	carry on (verb)
be persistent, refuse to stop	continue talking
	direct the course of; manage or control
	misbehave badly; act in a silly or improper way
	keep or maintain in unaltered condition; cause to remain or last