league vs unite

league is a noun but unite is not a noun.

Word	Noun	Adjective	Verb	Adverb
league	Yes	No	Yes	No
unite	No	No	Yes	No

As verbs, unite is a hypernym of league; that is, unite is a word with a broader meaning than league:

Other hypernyms of league include unify.

league (noun)	unite (noun)
an association of states or organizations or individuals for common action
an association of sports teams that organizes matches for its members
an obsolete unit of distance of variable length (usually 3 miles)

league (verb)	unite (verb)
unite to form a league	become one
	join or combine
	act in concert or unite in a common purpose or belief
	bring together for a common purpose or action or ideology or in a shared situation
	have or possess in combination
	be or become joined or united or linked