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Hex battles.
This special kind of battle (which is the standard for gym trainers, Elite 4 and some others), moves deal 50% less damage, but each move type will add a secondary effect to it (grass absorbs health, fairy causes accuracy reduction, rock flinches, ground reduces speed, flying has increased critical chance, etc.) and if a move can cause a status effect, it will have at least a 50% chance of causing the status.
Also both sides start with a 15% evasion buff.