Solex sold off the Velosolex part of their business to Motobecane sometime in the 70s. I believe that Motobecane retained rights to the brand name into the 1990s when they more or less sold everything they still had to various manufacturers.
The Velosolex moped, BTW is actually the second most popular "motorcycle" of all time, overall sales of units only having been surpassed by the Honda Cub.