
auslegen
to interpret
To interpret or understand something; to give something a particular meaning.
Man kann sein Schweigen als Zustimmung auslegen.
One can interpret his silence as agreement.
to interpret / lay out / advance
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to interpret
To interpret or understand something; to give something a particular meaning.
Man kann sein Schweigen als Zustimmung auslegen.
One can interpret his silence as agreement.

to lay out
To put something out or spread it out for others to view, use, or take with them.
Der Supermarkt hat kostenlose Warenproben ausgelegt.
The supermarket laid out free product samples.

to advance money
To temporarily pay money for another person, which you later get back.
Kannst du das Geld für die Kinokarten auslegen? Ich gebe es dir morgen zurück.
Can you advance the money for the movie tickets? I'll give it back to you tomorrow.

to cover
To cover a surface with a material, for example a floor with carpet.
Die ganze Wohnung ist mit Parkett ausgelegt.
The whole apartment is covered with parquet flooring.

to be designed
To be technically designed and dimensioned for a specific purpose or a specific performance level.
Der Motor ist auf eine hohe Lebensdauer ausgelegt.
The engine is designed for a long service life.
'Auslegen' (to interpret/to lay out/to advance money) is a separable verb. In a main clause, the prefix 'aus' goes at the end. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er legt die Dokumente für alle sichtbar aus.
He lays out the documents where everyone can see them.
The prefix 'aus-' often has the meaning 'outward' or 'to distribute'. This idea appears in many meanings: you put something out for viewing (spread it out), you put money out for others (advance it), or you put an interpretation outward (explain it).
Der Händler hat frisches Obst vor seinem Laden ausgelegt.
The vendor laid out fresh fruit in front of his shop.
If you want to say how something is interpreted, use the structure 'etwas als etwas auslegen' (to interpret something as something). The thing being interpreted is in the accusative.
Sein Lächeln wurde als Ironie ausgelegt.
His smile was interpreted as irony.
When you pay money for another person, use the structure 'etwas für jemanden auslegen' (to advance something for someone). The person is in the accusative after the preposition 'für'.
Keine Sorge, ich kann die Rechnung für dich auslegen.
Don't worry, I can advance the money for the bill for you.
When a surface is covered with a material, the preposition 'mit' (with) is used. The structure is: 'etwas mit etwas auslegen' (to cover something with something).
Wir haben das Kinderzimmer mit einem weichen Teppich ausgelegt.
We covered the children's room with a soft carpet.
In a technical context, the passive form 'auf etwas ausgelegt sein' (to be designed for something) is often used. The preposition 'auf' + accusative describes the purpose or property for which something was constructed.
Diese Maschine ist auf einen Dauerbetrieb von 24 Stunden ausgelegt.
This machine is designed for continuous 24-hour operation.
to pay
Bezahlen generally means giving money for goods, services, or a debt. Auslegen is used when you initially pay for another person and expect to get the money back later. For a normal payment of your own, use „bezahlen“; for a temporary payment on someone else’s behalf, use „auslegen“.

Ich kann die Rechnung für dich auslegen, wenn du mir das Geld morgen zurückgibst.
I can pay the bill for you if you give me the money back tomorrow.
Ich muss die Rechnung heute selbst bezahlen.
I have to pay the bill myself today.