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Help Center » Why is the SMS ringing when the contact is on Mute volume list?

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Despite the fact that the contact is on "Mute volume for" list, this can occur when the SMS tone is set outside of the system settings or the Smart Volume Control profile. 
 
There is no way to handle the custom SMS tones set in the SMS applications (including the system SMS application) because the Android does not allow applications to do this.