In fact they do, in Hungary. After the death of the original owner who passed it on to his sons, Velosolex were bought by Yamaha who in turn closed the plant and ceased trading. The original tools, however were sold and with them, a new company, Impex has started production again now in Hungary.
Complete with 50cc's of guff this bad boy can get up to a quiff shifting 24mph! The fact that it's a motorised bicycle and not a moped doesn't mean that you can skirt around the contentious issue of insurance or having to look a plum in a helmet. Which is why, for a design classic, I think that it never really took off in the UK and probably wont on it's re-introduction.
Although marketed as virtually bullet proof the reason why the Velosolex was so popular in Europe and Scandanavia was thanks to its post-sales service. In addition to a network of servicing centres, Velosolex used workshop vans to tour towns and villages to provide free adjustments and inspections.
Still looking at the breasts aren't you?