  The SUSY contribution to the muon magnetic moment anomaly, a_mu^SUGRA, and
the electron electric dipole moment, d_e, is discussed within the framework of
a modified mSUGRA model where the magnitudes of the soft breaking masses are
universal, but arbitrary phases are allowed. It is shown analytically how the
cancellation mechanism can allow for large phases (i.e. theta_B <~ 0.4) and
still suppress the value of d_e below its current experimental bound. The
dependence of a_mu^SUGRA on the CP violating phases are analytically examined,
and seen to decrease it but by at most a factor of about two. This reduction
would then decrease the upper bound on m_1/2 due to the lower bound of
Brookhaven data, and hence lower the SUSY mass spectrum, making it more
accessible to accelerators. At the electroweak scale, the phases have to be
specified to within a few percent to satisfy the experimental bound on d_e, but
at the GUT scale, fine tuning below 1% is required for lower values of m_1/2.
This fine tuning problem will become more serious if the bound on d_e is
decreased.
