From 1 cm at 38w6d to 2 cm at 39w6d

Elizabeth
Last week I was 1cm, 30% efaced, Baby still up high. Today I am 2cm, 25% effaced, baby still up high. She is my second girl. My first was born right on her due date. Had my membranes stripped, I'm hoping it all happens naturally because I'd like to avoid getting induced. 
Anyone have some stories to give me hope it could happen sin the nect few days, I didn't think I'd go past 40 weeks.