
verheiratet sein
to be married
To be in the state of having entered into marriage; not to be single, divorced, or widowed.
Meine Eltern sind seit über 30 Jahren glücklich verheiratet.
My parents have been happily married for over 30 years.
to marry / to marry off
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to be married
To be in the state of having entered into marriage; not to be single, divorced, or widowed.
Meine Eltern sind seit über 30 Jahren glücklich verheiratet.
My parents have been happily married for over 30 years.

to marry off
To arrange or bring about a marriage for another person, often by the parents.
Früher war es üblich, seine Kinder aus strategischen Gründen zu verheiraten.
In the past, it was common to marry off one's children for strategic reasons.

to get married
To marry someone; to enter into a marriage. This form is less common than the simple 'heiraten' (to marry).
Sie wollen sich nächstes Jahr im kleinen Kreis verheiraten.
They want to get married next year in a small circle.
The prefix 'ver-' is inseparable and often signals a change of state. Here it describes the transition into the state of marriage. So the verb is not separated.
Die Eltern verheirateten ihre Tochter aus politischen Gründen.
The parents married off their daughter for political reasons.
The use of 'verheiraten' changes with the grammar: 'verheiratet sein' (to be married) describes the state, 'jemanden verheiraten' (to marry someone off) describes the action by a third person, and 'sich verheiraten' (to get married) is a reflexive form for one's own marriage.
Sie ist seit fünf Jahren verheiratet.
She has been married for five years.
If you want to say whom someone is married to, you use the preposition 'mit' (with) followed by the dative.
Er ist mit seiner Jugendliebe verheiratet.
He is married to his childhood sweetheart.
The form 'jemanden verheiraten' (to marry someone off) is often used when a third party (e.g., the parents) arranges a marriage for someone else. It often has a historical or traditional undertone.
In vielen alten Geschichten werden die Prinzessinnen gegen ihren Willen verheiratet.
In many old stories, the princesses are married off against their will.
to marry
“Heiraten” normally describes a person entering into a marriage themselves. “Verheiraten” usually means that someone brings another person together with someone else or arranges their marriage; “sich verheiraten” is possible for this meaning, but less common. Use “heiraten” when talking about the couple and “verheiraten” when talking about the person arranging the marriage.

Im Roman verheirateten die Eltern ihre Tochter mit einem Mann aus dem Nachbardorf.
In the novel, the parents married their daughter off to a man from the neighboring village.
Im Roman heiratete die Tochter einen Mann aus dem Nachbardorf.
In the novel, the daughter married a man from the neighboring village.