Saypro Hormonal Birth Control. Combination Birth Control Pills (birth Control With Both Estrogen And Progesterone) And Some Other Forms Of Hormonal Birth Control, Such As The Vaginal Ring Or Skin Patch, May Raise Your Risk For Blood Clots And High Blood Pressure. Blood Clots And High Blood Pressure Can Cause A Heart Attack Or Stroke. A Blood Clot In The Legs Can Also Go To Your Lungs, Causing Serious Damage Or Even Death. These Are Serious Side Effects Of Hormonal Birth Control, But They Are Rare.