close out vs put away

close out and put away both are verbs.

Word	Noun	Adjective	Verb	Adverb
close out	No	No	Yes	No
put away	No	No	Yes	No

As verbs, put away is a hypernym of close out; that is, put away is a word with a broader meaning than close out:

close out (verb)	put away (verb)
to finish off	turn away from and put aside, perhaps temporarily
terminate by selling off or disposing of	eat up; usually refers to a considerable quantity of food
make impossible, especially beforehand	kill gently, as with an injection
	place in a place where something cannot be removed or someone cannot escape
	stop using
	throw or cast away
	lock up or confine, in or as in a jail