Finally, lets remember that there is still magic in the world today: the most powerful magical artifact made was Morgoth's Ring: Morgoth infused his power and magic into all matter, influencing and corrupting the world and the people in it to this day:
Melkor 'incarnated' himself (as Morgoth) permanently. He did this so as to control the hroa,2 the 'flesh' or physical matter, of Arda. He attempted to identify himself with it. A vaster, and more perilous, procedure, though of similar sort to the operations of Sauron with the Rings. Thus, outside the Blessed Realm, all 'matter' was likely to have a 'Melkor ingredient',3 and those who had bodies, nourished by the hroa of Arda, had as it were a tendency, small or great, towards Melkor: they were none of them wholly free of him in their incarnate form, and their bodies had an effect upon their spirits. [...]
Morgoth's vast power was disseminated. The whole of 'Middle-earth' was Morgoth's Ring, though temporarily his attention was mainly upon the North-west. [..]
No such eradication of Morgoth was possible, since this required the complete disintegration of the 'matter' of Arda. Sauron's power was not (for example) in gold as such, but in a particular form or shape made of a particular portion of total gold. Morgoth's power was disseminated throughout Gold, if nowhere absolute (for he did not create Gold) it was nowhere absent. (It was this Morgoth-element in matter, indeed, which was a prerequisite for such 'magic' and other evils as Sauron practised with it and upon it.) (HoME, Morgoth's Ring)
There is no reason to preclude the possibility that even today, there are secret Sauron-cults practicing some kind of "magic".