follow up vs go through with

follow up and go through with both are verbs.

Word	Noun	Adjective	Verb	Adverb
follow up	No	No	Yes	No
go through with	No	No	Yes	No

As verbs, follow up and go through with are synonyms defined as:

follow up and go through with: pursue to a conclusion or bring to a successful issue

Other synonyms of follow up include carry out, follow out, follow through, implement, put through.

follow up (verb)	go through with (verb)
pursue to a conclusion or bring to a successful issue	pursue to a conclusion or bring to a successful issue
increase the effectiveness or success of by further action