Microsoft Edge will delete your browsing history, cookies, and site data, as well as passwords, addresses, and form data when you close all InPrivate windows. Other people using this device won't see your browsing activity but your school, workplace, and internet service provider might still be able to access this data. Microsoft Edge will delete your browsing history, cookies, and site data, as well as passwords, addresses, and form data when you close all InPrivate windows. Other people using this device won't see your browsing activity but your school, workplace, and internet service provider might still be able to access this data.