
ihretwegen
because of her/them
Because of a female person or because of several people or things; they are the reason for something.
Ihretwegen musste der Zug eine Stunde warten.
The train had to wait for an hour because of her.
because of her/them / for her/their sake
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because of her/them
Because of a female person or because of several people or things; they are the reason for something.
Ihretwegen musste der Zug eine Stunde warten.
The train had to wait for an hour because of her.

for her/their sake
For the sake of a female person or several people; something happens for their benefit or out of consideration for them.
Ihretwegen will ich keinen Streit anfangen.
For her sake, I don't want to start an argument.
'Ihretwegen' (because of her/them; for her/their sake) can stand at the beginning of a sentence and then occupies the first position; the conjugated verb follows directly after it. However, it can also appear later in the sentence.
Ihretwegen musste die Veranstaltung verschoben werden.
Because of her, the event had to be postponed.
Die Veranstaltung musste ihretwegen verschoben werden.
The event had to be postponed because of her.
Whether 'ihretwegen' (because of her/them; for her/their sake) refers to a negative reason or consideration for someone can usually be understood from the verb and the result: words such as 'warten' (to wait), 'verpassen' (to miss), or 'sich ärgern' (to be annoyed) often indicate a cause, while words such as 'schweigen' (to remain silent) or 'helfen' (to help) often indicate consideration.
Ihretwegen verpassten wir den letzten Bus.
Because of her, we missed the last bus.
Ihretwegen schwieg er lieber über den Vorfall.
For her sake, he preferred to remain silent about the incident.
'Ihretwegen' (because of her/them; for her/their sake) refers to a female person or to several people or things mentioned previously or clear from the situation. The referent does not appear again as a separate noun in the same expression.
Anna hatte ihren Schlüssel vergessen. Ihretwegen mussten alle vor der Tür warten.
Anna had forgotten her key. Because of her, everyone had to wait outside the door.