cage vs cage in

cage is a noun but cage in is not a noun.

Word	Noun	Adjective	Verb	Adverb
cage	Yes	No	Yes	No
cage in	No	No	Yes	No

As verbs, cage and cage in are synonyms defined as:

cage (noun)	cage in (noun)
an enclosure made or wire or metal bars in which birds or animals can be kept
the net that is the goal in ice hockey
a movable screen placed behind home base to catch balls during batting practice
something that restricts freedom as a cage restricts movement

cage (verb)	cage in (verb)
confine in a cage	confine in a cage