Roy has 2 x 2 = <<2*2=4>>4 black pens.
Twice the number of black pens is 4 x 2 = <<4*2=8>>8.
So, there are 8 - 2 = <<8-2=6>>6 red pens.
Therefore, Roy has 2 + 6 + 4 = <<2+6+4=12>>12 pens in all.
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