die Ausfuhr
export
The sale and transport of goods or services abroad; export.
Die Ausfuhr von Maschinen ist für die deutsche Wirtschaft von großer Bedeutung.
The export of machinery is very important for the German economy.

export
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export
The sale and transport of goods or services abroad; export.
Die Ausfuhr von Maschinen ist für die deutsche Wirtschaft von großer Bedeutung.
The export of machinery is very important for the German economy.

'Ausfuhr' (export) is derived from the verb 'ausführen' (to export). The logic behind it is that goods are 'geführt' (led/carried) 'aus' (out of) the country. So the word can be understood very literally.
Die Regierung möchte die Ausfuhr von landwirtschaftlichen Produkten fördern.
The government wants to promote the export of agricultural products.
'Ausfuhr' (export) belongs to a word family that describes directions in trade. Other members are 'die Einfuhr' (import) and 'die Durchfuhr' (transit). The prefixes 'aus-', 'ein-', and 'durch-' define the direction.
Für die Einfuhr und Ausfuhr von Waren gelten oft unterschiedliche Regeln.
Different rules often apply to the import and export of goods.
Common verbs used with 'Ausfuhr' (export) are 'genehmigen' (to approve), 'beschränken' (to restrict), 'fördern' (to promote), or 'steigern' (to increase). Usually, what is being exported is also mentioned, e.g. 'die Ausfuhr von Autos' (the export of cars).
Das Land hat die Ausfuhr von seltenen Hölzern streng beschränkt.
The country has strictly restricted the export of rare woods.
This word is used almost exclusively in the context of economics, trade, politics, and logistics. It is less common in everyday conversation.
In den Nachrichten wurde über die neuen Zahlen zur Ausfuhr berichtet.
The news reported on the new export figures.
to carry out / to elaborate / to export
'ausführen' and 'die Ausfuhr' can both have to do with goods that go abroad. Here, 'ausführen' is the verb: a company exports goods. 'die Ausfuhr' is the noun and means export as a process or area. The words can be confused because they start the same way and are closely related in this context. The important point is: for the action, use 'ausführen'; for the process or topic, use 'die Ausfuhr'.

Wegen neuer Regeln prüft der Zoll die Ausfuhr von Medikamenten besonders genau.
Because of new rules, customs is checking the export of medicines especially carefully.
Die Firma führt ihre Maschinen in mehrere Länder aus.
The company exports its machines to several countries.