We present a search for gravitational waves from 222pulsars with rotation frequencies 10 Hz. We use advanced LIGO data from its first and second observing runs spanning 2015-2017, which provides the highest-sensitivity gravitational-wavedata so far obtained. In this search we target emission from both the l=m=2 mass quadrupole mode, with a frequency at twice that of the pulsar's rotation, and the l=2, m=1 mode, with a frequency at the pulsar rotation frequency. The search finds no evidence for gravitational-wave emission from any pulsar at either frequency. For the l=m=2 mode search, we provide updated upper limits on the gravitationalwave amplitude, mass quadrupole moment, and fiducial ellipticity for 167pulsars, and the first such limits for a further 55. For 20young pulsars these results give limits that are below those inferred from the pulsars' spin-down. For the Crab and Vela pulsars our results constrain gravitational-wave emission to account for less than 0.017%and 0.18%of the spin-down luminosity, respectively. For the recycled millisecond pulsar J0711 −6830our limits are only a factor of 1.3above the spin-down limit, assuming the canonical value of 10 38 kg m 2 for the star's moment of inertia, and imply a gravitational-wave-derived upper limit on the star's ellipticity of 1.2×10 −8. We also place new limits on the emission amplitude at the rotation frequency of the pulsars.