  We determine when certain natural classes of subgroups of right-angled
Coxeter groups (RACGs) and right-angled Artin groups (RAAGs) are themselves
RAAGs. We characterize finite-index visual RAAG subgroups of 2-dimensional
RACGs. As an application, we show that any 2-dimensional, one-ended RACG with
planar defining graph is quasi-isometric to a RAAG if and only if it is
commensurable to a RAAG. Additionally, we give new examples of RACGs with
non-planar defining graphs which are commensurable to RAAGs.
  Finally, we give a new proof of a result of Dyer: every subgroup generated by
conjugates of RAAG generators is itself a RAAG.
