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How does the game calculate attack speeds slows basically. For instance if Nid healed and ally and Malphite used his aoe attack speed slow how do they get applied.

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All debuffs stack multiplicatively, so they will never reach 100%. For instance, you can't stack slows on the same target to make it into an immobilize or root: slow 100%. If you slow a target by 55% then a teammate slows the same target by 35% (Zilean slow with Ashe auto attack), the target will move at 45% movement speed from Zilean. This new movement speed will be reduced by 35%. So effectively, your movement speed would be 0.45*0.65 or 29.25% of your original movement speed.

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Attack speed reductions stack multiplicatively, and take percentages off the final attack speed value after all bonus attack speed has been factored in.

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