Your gf's debt is her own, just as your mortgage debt is your own. Your name is not on any of her current loans or vice versa. Legally, you would not be responsible.
However, you seem to be a wonderful, thoughtful man and I can see how you might, as a human being, feel responsibility toward her. It is because you love her. That is what love is.
You are both luckyfortunate.
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As far as possible, without surrender, be on good terms with all persons...be cheerful; strive for happiness - Desiderata
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