  We revisit the neutrino magnetic moments (MMs) in the left-right model with
non-manifest symmetry. After deriving an expression in terms of the Dirac and
Majorana phases, we analyze the sensitivity of neutrino MMs to these
$CP$-violating phases in two scenarios: 1) a maximal right mixing in which
left- and right-handed neutrinos are mixed by the same matrix; and 2) a
right-handed neutrino mixing whose off-diagonal entries are much smaller than
the elements in the diagonal, but where the $CP$ phases remain general. Our
results show that, even though certain values of the Majorana phases can
eliminate neutrino MMs, the presence of a maximal $CP$-violating phase in
neutrino mixing matrix, as favored by the discrepancy between T2K results and
reactor measurements in neutrino oscillations, requires that at least one
neutrino have a large nonzero MM.
