Yes, although to a lesser extent than Amsterdam. Right now there are only 17 legal brothels in Nevada with about 300 licensed prostitutes. That's fairly easy to keep track of. But if we legalize it nationwide and have hundreds of legal brothels with thousands of licensed prostitutes, it's going to be much more difficult to keep track of everyone. And if we legalize escort services, Backpage prostitution, etc, then it will be impossible to keep track of everyone. The demand will increase and more women will be working in prostitution, either by choice or by force.
Edit to clarify that most of the human trafficking in Nevada occurs in Las Vegas, where prostitution is illegal but very much in demand because of the high number of tourists.