  We report bulk-sensitive hard X-ray ($h\nu$ = 5.95 KeV) core level
photoemission spectroscopy (PES) of single crystal V$_{1.98}$Cr$_{0.02}$O$_{3}$
and the high-$T_c$ cuprate Bi$_2$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ (Bi2212).
V$_{1.98}$Cr$_{0.02}$O$_{3}$ exhibits low binding energy "satellites" to the V
$2p$ "main lines" in the metallic phase, which are suppressed in the
antiferromagnetic insulator phase. In contrast, the Cu $2p$ spectra of Bi2212
do not show temperature dependent features, but a comparison with soft X-ray
PES indicates a large increase in the $2p^5 3d^9$ "satellites" or $3d^9$ weight
in the bulk. Cluster model calculations, including full multiplet structure and
a screening channel derived from the coherent band at the Fermi energy, give
very satisfactory agreement with experiments.
