We report the discoveries of the two-image gravitationally lensed quasars SDSS J074653.03+440351.3 and SDSS J140624.82+612640.9, selected from the Sloan Digital Sky Survey (SDSS). SDSS J0746+4403, which will be included in our lens sample for statistics and cosmology, has a source redshift of zs = 2.00, an estimated lens redshift of zl ~ 0.3, and an image separation of 1.08''. SDSS J1406+6126 has a source redshift of zs = 2.13, a spectroscopically measured lens redshift of zl = 0.27, and an image separation of 1.98''. We find that the two quasar images of SDSS J1406+6126 have different intervening Mg II absorption strengths, which are suggestive of large variations of absorbers on kiloparsec scales. The positions and fluxes of both lensed quasar systems are easily reproduced by simple mass models with reasonable parameter values. These objects bring to 18 the number of lensed quasars that have been discovered from the SDSS data.
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