vollstrecken
to enforce
To forcibly enforce or carry out a court judgment, decision, or other official order.
Der Gerichtsvollzieher wurde beauftragt, die Pfändung zu vollstrecken.
The bailiff was instructed to enforce the seizure.

to enforce / execute
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to enforce
To forcibly enforce or carry out a court judgment, decision, or other official order.
Der Gerichtsvollzieher wurde beauftragt, die Pfändung zu vollstrecken.
The bailiff was instructed to enforce the seizure.

'Vollstrecken' is an inseparable verb. The prefix 'voll-' remains firmly attached to the verb stem in all sentence forms and tenses.
Das Urteil wurde gestern vollstreckt.
The judgment was enforced yesterday.
This verb belongs to formal legal and administrative language. It is practically not used in normal everyday life.
Im Schreiben steht, dass die Zwangsvollstreckung nächste Woche vollstreckt wird.
The letter says that the compulsory enforcement will be carried out next week.
You can recognize the meaning 'ein Urteil durchsetzen' (to enforce a judgment) from the accusative object. Typical objects are 'ein Urteil' (a judgment), 'ein Beschluss' (a decision), 'eine Strafe' (a punishment), or 'eine Pfändung' (a seizure).
Die Behörde hat den Beschluss sofort vollstreckt.
The authority enforced the decision immediately.
In the meaning 'hinrichten' (to execute), the object is almost always 'das Todesurteil' (the death sentence) or 'die Todesstrafe' (the death penalty).
Das Todesurteil wurde im Morgengrauen vollstreckt.
The death sentence was carried out at dawn.
to carry out / to elaborate / to export
'ausführen' and 'vollstrecken' can both mean that something is put into action. But 'ausführen' is much more general: you can carry out a plan, a task, or an order. 'vollstrecken' is used mainly in the legal field, when a judgment or official order is enforced with coercion. The words can be confused because you could also 'ausführen' a judgment. But 'vollstrecken' is more natural and more precise here when courts, punishments, or authorities are involved.

Die Behörde kann den Beschluss erst nach der Frist vollstrecken.
The authority can only enforce the decision after the deadline.
Das Team führt den Plan Schritt für Schritt aus.
The team carries out the plan step by step.