put away vs close out

put away and close out both are verbs.

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

As verbs, close out is a hyponym of put away; that is, close out is a word with a more specific, narrower meaning than put away:

put away (verb)	close out (verb)
turn away from and put aside, perhaps temporarily	to finish off
eat up; usually refers to a considerable quantity of food	terminate by selling off or disposing of
kill gently, as with an injection	make impossible, especially beforehand
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