From Longman Dictionary of Contemporary Englishgo together phrasal verb1 if two things go together, they exist together or are connected in some way Alcohol abuse and eating disorders often go together.GrammarIn this meaning, go together is not used in the progressive. You say: The problems go together. ✗Don’t say: The problems are going together.2 RELATIONSHIP old-fashioned if two people are going together, they are having a romantic relationship → go→ See Verb table
Examples from the Corpus
go together• Brain size and cleverness do not go together.• They decided to go together, by their thousands, to the place where they were told he could be found.• It goes together easily with butternut squash, onion, potato, carrots and broth.• Those two words go together for owner and worker alike.• Geopolitics and gratitude do not go together, it seems.• The problem is how those things all go together to form one highly organised complicated thing.• Community and confrontation don't go together, which is fair enough but a bit cosy. 