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This quote seems to indicate they did, no?
…Up to the time of leaving the first garden, Adam and his family had always subsisted on fruits, cereals, and nuts. On the way to Mesopotamia they had, for the first time, partaken of herbs and vegetables. The eating of meat was early introduced into the second garden, but Adam and Eve never partook of flesh as a part of their regular diet…. 76:3.7 (850.3)
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Richard E Warren


