austragen.

to (go from house to house and) deliver sth.,

Briefe austragen, die Post austragen, die Zeitung oder Brötchen austragen

to take someone or something off a list

sich aus einer Liste austragen

to be in or have a struggle for victory with sb. (in any competitive event with another opposing group or person, e.g. a war, a fight, a battle, a duel, a championship, a contest, a match, a (scientifical) debate, a discussion, an argument, an (internal) conflict)

einen Kampf mit jdm. austragen

ein Problem mit sich selbst austragen müssen

to stage, to hold, to execute, to host such a competitive event,

to bear a child until birth, to gestate

ein Kind austragen

to insist on (as a condition of something)