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Basically these pillow prevent one from lying on the back and encourage sleeping on the side. This is because lying on the back allows the tongue to fall backward into the throat, narrowing the airway and partially obstructing airflow while causing snoring. However a better solution to prevent sleeping on the back and to sew a tennis ball in the back of the pajama top.
The below link is for a pillow that claims to be anti-snore:
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