  We present a formalism and detailed analytical results for soft-gluon
resummation for $2\rightarrow n$ processes in single-particle-inclusive (1PI)
kinematics. This generalizes previous work on resummation for $2 \rightarrow 2$
processes in 1PI kinematics. We also present soft anomalous dimensions at one
and two loops for certain $2 \rightarrow 3$ processes involving top quarks and
Higgs or $Z$ bosons, and we provide some brief numerical results.
