I am 41+5 and booked in for an induction on Sunday, which I really wanted to avoid having been induced before.
So no signs of labour, other than a few crampy days over the last few weeks which came to nothing. I have been examined twice this week for a sweep but have been unable to have one. On Tuesday the Bishops score was 0, today it was 5 so some change but the baby's head is still high.
I think I am probably being hugely optimistic but I am still hoping it might happen before Sunday.
I went into labour naturally at 41+6 (the day before induction). I had a high, backwards, closed cervix (unsweepable)on the Monday, 2cm dilated on Tues (given vigorous sweep), gave birth midday Wednesday.
To add to that, I was unsweepable with DS at 39+5 (tried sweep due to false labour) and was told I was weeks off. 12 hours later I had a big show and got checked to be told it was likely I'd make it naturally, just not any time soon. 18 hours after that he arrived on his due date.
Agree that you don't have to be induced if you don't want to be. Ask the hospital to give you accurate info about the risks of going overdue, and how they would manage you if you turned down their offer of induction.