join vs run up

join is a noun but run up is not a noun.

Word	Noun	Adjective	Verb	Adverb
join	Yes	No	Yes	No
run up	No	No	Yes	No

join (noun)	run up (noun)
a set containing all and only the members of two or more given sets
the shape or manner in which things come together and a connection is made

join (verb)	run up (verb)
make contact or come together	pile up (debts or scores)
cause to become joined or linked	raise by using ropes and pulleys
become part of; become a member of a group or organization	fasten by sewing; do needlework
come into the company of	make by sewing together quickly
be or become joined or united or linked	accumulate, sometimes as a debt