First of all, it is important to understand that cancer is caused by multiple mechanisms, not all of which are fully known yet, but above all, that not all cancers are the same.
As for the use of combined oral contraceptives (COCs), the opposite is true – not only do they not cause cancer, but they actually reduce the risk of some cancers, such as ovarian cancer, colon cancer and endometrial cancer, and they maintain this protective effect even several years after discontinuation of contraception.