"But, on the other hand, monks, if one does not will, nor entertain thought-constructions, nor has proclivities, then this does not become an object for the persistence of the consciousness.
The object not being there, there is no station of consciousness: consciousness not being stationed and not having grown, there is no bending: bending not being, there is no coming or going: there being no coming or going, there is no decease or birth: there being no decease or birth, there is no future birth, old age and death, grief, lamenting, suffering, sorrow, and despair. Such is the cessation of this mass of ill."
Nanananda, Concept and Reality, BPS 1986, page 90.- [cited as K.S. II. 46-47]
This is SN 12.38 - Will, see also SN 12.39 and SN 12.40
This is a difficult passage that will require extensive analysis which is beyond the scope of this thread.
But one thing seems clear, there is a "decease and birth" which ceases in the present, that is the reason why there is no "future birth, old-age and death .."
The terms "decease and birth" are not here used in a literal sense.
One possibility is that, there being no self, there is no self that was born and no self that will die, even now. So there can be no future birth, old-age and death, of that self.