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How come in green arrow people who are injected with the mirakuru die. But Slade and Roy survived. Why did these people not die and how?
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According to the Arrow Wiki:
the use of the serum is dangerous, as it can easily prove fatal to its subjects if not correctly administered.
So it would seem that Oliver somehow correctly administered it to Slade.
Sebastian Blood obtained the serum from Slade's blood and injected Roy, who then bled from his eyes and appeared to die, but he was revived by Oliver.