Induction but no problems?

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I'm 39 weeks tomorrow and am not dilated and not having any contractions. My doctor said if I don't have her by the due date she wants to schedule me for an induction. I am not having any issues whatsoever. Bp and urine are fine, and I don't have gd. I am just wondering whats the big deal about going past your due date? I would really rather not be induced because I've heard it's alot more painful.