Unless you use the Verizon Messages+ application, you need an active 3G/4G network connection to download the MMS & picture messages.
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Being able to access your texts is a must! Ann154 & sprmankalel are correct. You do need to ensure you have your cellular data active to send & receive MMS messages (group & picture). If you are not seeing a difference after ensuring cell data is on, we would just need a little more information from you. What make/model phone are you using? What message app do you use?
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