Every pack in Yu-Gi-Oh 5d's Stardust Accelerator has synchro monsters there just the hardest ones to find, when i first played the game i didnt buy anything until i got the stardust dragon pack and i got him in the first pack. So it's kind of like real life it's all about the luck of the draw.
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it is in it just search for it
Summon it in a duel
you cant
No.
the card that goes with the code must be in your card list.