continue vs hang in

continue and hang in both are verbs.

Word	Noun	Adjective	Verb	Adverb
continue	No	No	Yes	No
hang in	No	No	Yes	No

As verbs, hang in is a hyponym of continue; that is, hang in is a word with a more specific, narrower meaning than continue:

continue (verb)	hang in (verb)
exist over a prolonged period of time	be persistent, refuse to stop
continue talking
move ahead; travel onward in time or space
allow to remain in a place or position or maintain a property or feature
keep or maintain in unaltered condition; cause to remain or last
continue a certain state, condition, or activity
span an interval of distance, space or time
continue in a place, position, or situation
continue after an interruption
do something repeatedly and showing no intention to stop