There are 8 digivolution cards under my EX2-007 [Mother D-Reaper], including 1 BT9-109 [X Antibody]. Can this card's 1st effect activate when this card would be played?
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Yes, it can be activated. As long as you can trash 7 or more digivolution cards from the bottom other than cards that can't be trashed, the play cost will be 0.
Source: EX2-055 Reaper