  We present phase-resolved spectroscopy of two new short period low accretion
rate magnetic binaries, SDSSJ125044.42+154957.3 (Porb = 86 min) and
SDSSJ151415.65+074446.5 (Porb = 89 min). Both systems were previously
identified as magnetic white dwarfs from the Zeeman splitting of the Balmer
absorption lines in their optical spectra. Their spectral energy distributions
exhibit a large near-infrared excess, which we interpret as a combination of
cyclotron emission and possibly a late type companion star. No absorption
features from the companion are seen in our optical spectra. We derive the
orbital periods from a narrow, variable H_alpha emission line which we show to
originate on the companion star. The high radial velocity amplitude measured in
both systems suggests a high orbital inclination, but we find no evidence for
eclipses in our data. The two new systems resemble the polar EF Eri in its
prolonged low state and also SDSSJ121209.31+013627.7, a known magnetic white
dwarf plus possible brown dwarf binary, which was also recovered by our method.
