The love business? (6)
I believe the answer is:
affair
This clue is a double definition.
'the love' is the first definition.
(thesaurus)
'business?' is the second definition.
(thesaurus)
(Other definitions for affair that I've seen before include "Secret romance" , "See 23" , "A fling (or something more serious?)" , "Concern (maybe extra-marital?)" , "A romantic intrigue" .)