Yup! You only need to make sure that each detachment is made out of a single Legion in order for that detachment to benefit from the Legion traits. So you could have 1 detachment be Black Legion, and get the +1 Ld and "Advance and shoot Rapid Fire as if Assault", and you could also have 1 detachment be Emperor's Children to get the "always strikes first in close combat". However, if you have a single detachment, and that detachment had both Black Legion AND Emperor's Children units in it, then you wouldn't benefit from the traits of either Legion.
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