
die Austragung
staging
The carrying out or organization of an event, especially a sports competition.
Die Austragung der nächsten Weltmeisterschaft findet in Katar statt.
The staging of the next World Cup will take place in Qatar.
staging / resolution
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staging
The carrying out or organization of an event, especially a sports competition.
Die Austragung der nächsten Weltmeisterschaft findet in Katar statt.
The staging of the next World Cup will take place in Qatar.

resolution
The settlement or fighting out of a conflict, disagreement, or legal dispute.
Die gerichtliche Austragung des Streits dauerte mehrere Jahre.
The judicial resolution of the dispute took several years.
'Die Austragung' (staging/resolution) is a noun derived from the verb 'austragen'. The ending '-ung' turns the action of the verb into a feminine noun that describes the process or event itself.
Die Austragung des Konflikts erfolgte vor Gericht.
The resolution of the conflict took place in court.
The context makes the meaning clear. If it is about sports, competitions, or events, it means the carrying out or staging. If it is about conflicts, disputes, or disagreements, it means the settlement or fighting out of them.
Die Austragung des Finales wurde wegen schlechten Wetters verschoben.
The staging of the final was postponed because of bad weather.
In a sports context, 'Austragung' (staging) is often connected with specific events such as 'Weltmeisterschaft' (World Cup/world championship), 'Turnier' (tournament), 'Wettkampf' (competition), or 'Finale' (final). A typical verb in this context is 'stattfinden' (to take place).
Die Austragung der Olympischen Spiele ist eine große Ehre für das Gastgeberland.
The staging of the Olympic Games is a great honor for the host country.
When it is about conflicts, 'Austragung' (resolution) is often further specified by adjectives that describe the type of confrontation. Typical examples are 'gerichtliche' (judicial), 'friedliche' (peaceful), 'öffentliche' (public), or 'gewaltsame' (violent) Austragung.
Beide Parteien einigten sich auf eine außergerichtliche Austragung des Streits.
Both parties agreed on an out-of-court resolution of the dispute.
implementation / feedthrough
Both Durchführung and Austragung can refer to a planned event taking place. Austragung is used especially for sports competitions and similar events, while Durchführung is more general and works for plans, measures, and events.

Die Austragung des Fußballturniers ist für Samstag geplant.
The soccer tournament is scheduled to take place on Saturday.
Die Durchführung des Schulfests ist für Samstag geplant.
The school festival is scheduled to take place on Saturday.