Complex sentence: Because of her suicide attempt, House can hold Alice in the hospital under psychiatric hold for 72 hours, but Alice is uncooperative and the team are against the clock to diagnose her until she is allowed to leave.
Split into simpler sentences: Because of her suicide attempt, House can hold Alice in the hospital under psychiatric hold for 72 hours. But Alice is uncooperative and the team are against the clock to diagnose her until she is allowed to leave.