。
Face adversity with courage.
Literal
Courage [object-を] hold-and adversity [target-に] confront.
持って (te-form of 持つ) here means 'with, having' — a common way to express manner. 立ち向かう (たちむかう, 'to stand and face, confront') is a compound verb that conveys active resistance, not passive endurance. 逆境 (ぎゃっきょう, 'adversity') is a kango compound.