I think these are correct but some of the parsing eludes me..
43a. Essay: what's repeated in it? (6) - THESIS (Essay)
I know 'What' often equates to Eh but I can't see that it's repeated so I think I'm on the wrong track.
48a. What soliloquy passes through endlessly by itself (4,5) - IPSO FACTO (By Itself)
32a. Bar to close as strip clubs open (5) - LATCH (Bar to close)