die Ausführung
execution
The carrying out or implementation of a plan, an order, or a task.
Die Ausführung des Bauprojekts verlief ohne Probleme.
The execution of the construction project went smoothly.

execution / version
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execution
The carrying out or implementation of a plan, an order, or a task.
Die Ausführung des Bauprojekts verlief ohne Probleme.
The execution of the construction project went smoothly.

The noun 'die Ausführung' (execution/version) comes from the verb 'ausführen'. This separable verb literally means to lead something 'outward' or to bring it to completion. This idea is present in all meanings: you carry out a plan, develop a product version, or elaborate thoughts.
Der Architekt war für die Ausführung der Pläne verantwortlich.
The architect was responsible for the execution of the plans.
You can recognize the meaning of 'Ausführung' (execution/version) from the context. If it is about a plan or task, implementation is meant. With products, it is about the version or variant. In the plural ('Ausführungen'), it usually means explanations.
Die Ausführung des Befehls erfolgte sofort.
The execution of the order took place immediately.
In the sense of 'Umsetzung' (implementation), 'Ausführung' (execution) is often used with abstract nouns. Typical phrases are 'zur Ausführung kommen' (to be carried out) or 'die Ausführung eines Plans/Projekts' (the execution of a plan/project).
Der Plan kam nie zur Ausführung.
The plan was never carried out.
When referring to a product variant, 'Ausführung' (version) often appears with the preposition 'in'. You can buy or order a product 'in einer bestimmten Ausführung' (in a specific version).
Ich hätte das Sofa gern in einer anderen Ausführung.
I would like the sofa in a different version.
In the meaning 'Erklärung' (explanation) or 'Darlegung' (presentation), the word is almost always used in the plural. It often describes detailed oral or written explanations in a formal context.
Könnten Sie Ihre Ausführungen bitte etwas kürzen?
Could you please shorten your explanations a little?
The meaning 'Ausfuhr von Waren' (export of goods) is used almost exclusively in business and legal language. In everyday language, people instead say 'Export' (export) or 'Ausfuhr' (export).
Für die Ausführung dieser Technologie ist eine Genehmigung erforderlich.
A permit is required for the export of this technology.
version
'die Version' and 'die Ausführung' can both mean a particular form of a product. 'die Version' is broader and also works for software, texts, or films. 'die Ausführung' is used more for products when material, features, or design are meant, for example with furniture, cars, or devices. The words can be confused when a product is offered in several forms. Memory tip: 'Version' is more about the edition or form, while 'Ausführung' is more about the specific features or design.

Der Tisch ist auch in einer hellen Ausführung erhältlich.
The table is also available in a light-colored version.
Ich lade heute die neue Version der Reise-App herunter.
I’m downloading the new version of the travel app today.