Which condition in a client's history contradicts the use of combination oral contraceptives?

The use of combination oral contraceptives is contraindicated in individuals with a history of thrombophlebitis due to the increased risk these contraceptives pose for thromboembolic events. Thrombophlebitis is a condition characterized by inflammation of a vein associated with thrombosis, which indicates a tendency for blood clots to form. Combination oral contraceptives, which typically contain estrogen and progestin, can lead to an increased likelihood of clot formation because estrogen is known to enhance coagulation factors in the blood.

For individuals with this history, the risk of developing deep vein thrombosis (DVT) or pulmonary embolism (PE) is significantly elevated, making the prescription and use of combination oral contraceptives unsafe. In contrast, controlled hypertension and a history of migraines, while they may present some risks, do not inherently negate the use of these contraceptives in a well-monitored setting. Asthma exacerbation is not directly linked to the use of oral contraceptives and would not typically be a contraindicating factor. Thus, the presence of thrombophlebitis is the most critical condition that directly contradicts the use of combination oral contraceptives.