Two methods that are used to improve reading speed is chunking
and eliminating subvocalization. There are books, videos, seminars
and software that can be used to help you achieve speed
reading.
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Moving the lips while others are talking could be a sign of subvocalization, where a person silently repeats the words they are hearing in order to better understand or process the information. It could also be due to a habit or a way to stay engaged in the conversation.