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She screamed until her voice went hoarse.
Literal
She [topic-は] voice [subject-が] goes-hoarse [until-まで] screamed.
声がかれる means 'one's voice goes hoarse' — かれる (枯れる) literally means 'to wither/dry up,' used metaphorically for a voice that's been worn out. まで marks the endpoint: she kept screaming until the point her voice gave out. The sentence vividly conveys extreme emotional distress or desperate effort.