Is it permissible to watch movies translated by websites that sell these translations, which are then copied and displayed by other websites, knowing that the translating websites did not produce the movies, but only translated them?

It is not permissible to watch copyrighted films without the permission of their owners, because that constitutes an infringement upon their rights, which are protected by Islamic law. The criterion for permissibility of watching is the permission of the entity that owns the rights to the film. Merely translating films does not grant the translating entity publishing rights.