This thread is still circular and I'm surprised that people who want to defend the existence of this law don't come with legislative references in their back pocket. There are some claims that aren't easily defended but legislative claims are cut and dry and readily found if you're looking.
Anyway, I'm pretty sure what's in this link applies to every instance where a brothel law is claimed:
http://index.truman.edu/PDF/2004-200.../Page%2013.pdf