Nine for Mortal Men doomed to die

[Galin]

Despite a quote in the books that goes something like the Nine the Nazgûl keep, indeed there's plenty of text to support that Sauron took back the Nine Rings. A few examples being...

'True, alas, is our guess. This is not one of the Ulairi, as many have long supposed. It is Sauron himself who has taken shape again and now grows apace; and he is gathering again all the Rings to his hand; and he seeks ever for news of the One, and of the Heirs of Isildur, if they live still on earth.' Of The Rings Of power And The Third Age

'So it is now: the Nine he has gathered to himself; the Seven also, or else they are destroyed.' The Fellowship of the Ring

'They were by far the most powerful of his servants, and the most suitable for such a mission, since they were entirely enslaved to their Nine Rings, which he now himself held; they were quite incapable of acting against his will, ...' Unfinished Tales

Note he now himself held. And...

'... laid upon them by Sauron, who still through their Nine Rings (which he held) had primary control of their wills.' Letters