It makes sense, at least in theory.
But in practice, the experience of Amsterdam in legalizing prostitution has not been smooth or one of unmitigated success. At all.
“Prostitution has remained connected to criminal activities, which has led the authorities to take several measures, including detailed plans to help the prostitutes quit the sex trade and find other professions.
In 2005 Amma Asante and Karina Schaapman, two councilors for the Labour Party (Netherlands), wrote a report, "Het onzichtbare zichtbaar gemaakt" (Making the Invisible Visible). Schaapman had once been a prostitute and was getting information about the influx of organized crime and violence into the business. Other reports came out around the same time. They concluded that a large number of prostitutes in Amsterdam were being forced to work and were being abused by pimps and criminal gangs, and that the goals of legalization were failing.[17][18]...
At the end of 2008, Mayor Cohen announced plans to close half of the city's 400 prostitution windows because of suspected criminal gang activity. The mayor is also closing some of the city's 70 marijuana cafes and sex clubs.[8] This comes at the same time as the Government's decision to ban the sale of "magic mushrooms" and the closure of all coffee shops situated near schools...
Many victims of human trafficking are led to believe by organized criminals that they are being offered work in hotels or restaurants or in child care and are forced into prostitution with the threat or actual use of violence. Estimates of the number of victims vary from 1,000 to 7,000 on a yearly basis. Most police investigations on human trafficking concern legal sex businesses. All sectors of prostitution are well represented in these investigations, but particularly the window brothels are overrepresented. [29]...
The United States Department of State Office to Monitor and Combat Trafficking in Persons ranks the Netherlands as a 'Tier 1' country.[34]“
Prostitution in the Netherlands - Wikipedia
So I don’t know. Legalized prostitution; its one of those “darned if you do, darned if you don’t” type situations. It seems to be a little different than just selling cars or rugs or something. It seems far more predisposed to creating situations for exploitation and abuse.