  Non-extremal black holes in $\mathcal{N}=2$ supergravity have two horizons,
the geometric mean of whose areas recovers the horizon area of the extremal
black hole obtained from taking a smooth zero temperature limit. In prior work
(arxiv:1410.3478), using the attractor mechanism, we deduced the existence of
several moduli independent invariant quantities obtained from averaging over a
decoupled inter-horizon region. We establish that non-extremal geometries at
the Reissner--Nordstr\"om point, where the scalar moduli are held fixed, can be
lifted to solutions in supergravity with a near-horizon AdS$_3\times$S$^2$.
These solutions have the same entropy and temperature as the original black
hole and therefore allow an interpretation of the underlying gravitational
degrees of freedom in terms of CFT$_2$. Symmetries of the moduli space enable
us to explicate the origin of entropy in the extremal limit.
