ask for it vs hang in

ask for it and hang in both are verbs.

Word	Noun	Adjective	Verb	Adverb
ask for it	No	No	Yes	No
hang in	No	No	Yes	No

As verbs, hang in is a hypernym of ask for it; that is, hang in is a word with a broader meaning than ask for it:

ask for it: persist with actions or an attitude despite the probability that it will cause trouble
hang in: be persistent, refuse to stop

Other hypernyms of ask for it include hang on, hold on, persevere, persist.

ask for it (verb)	hang in (verb)
persist with actions or an attitude despite the probability that it will cause trouble	be persistent, refuse to stop