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The term that describes difficulty in speaking or hoarseness is dysphonia. Dysphonia specifically refers to issues related to the quality, volume, or pitch of the voice that affect a person's ability to speak clearly. This can manifest as a raspy, strained, or weak voice, making communication challenging.
In contrast, aphasia refers to a language disorder that affects a person's ability to communicate, including understanding and producing spoken or written language, but does not specifically relate to the physical condition of the voice itself. Dyslexia involves difficulties with reading and processing language, while apraxia is a motor speech disorder that affects the ability to coordinate the movements necessary for speech. Thus, dysphonia is the accurate term for the difficulties described in the question.