  Motivated by realization of the dissipative quantum point contact in
ultracold atomic gases, we investigate a two-terminal mesoscopic transport
system in which a single-particle loss is locally present in a one-dimensional
chain. By means of the Dyson equation approach in the Keldysh formalism that
can incorporate dissipative effects, we reveal analytic structures of the
particle and energy currents whose formal expressions correspond to ones in
certain three-terminal systems where the particle loss is absent. The obtained
formulas are also consistent with non-hermitian and three-terminal
Landauer-B\"{u}ttiiker analyses. The universality on the current expressions
holds regardless of quantum statistics and may be useful for understanding
lossy two-terminal transport in terms of three-terminal transport and vice
versa.
