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Kayle would be a great champ if only she was ranged *RIOT*. She has heal, movement speed multiplier, and a ult that makes one of your team immune to any champ sort of like a Zhonya's Hourglass but with a short cool down.

The runes are aimed to give you defensive stats so you don't have to waste your build with it.

Defensive masteries for that early game sustain.

Regrowth Pendant and Mana Potion is good becuse you won't have to waste your W for healing
philosopher's stone g/s and mana and health regen
Boots for movement
b.f. sword for early damage cas kayle lacks that
Ionian Boots of Lucidity for CD to make kayle ranged.
Nashor's Tooth for everything
Bloodthirster for damage and life steal
Shurelya's Battlesong complete it for its active
Trinity Force has little of everything
Black Cleaver AS and AD for late game damage

Bottom was previous build which wasn't bad but did very little damage
Regrowth Pendant and Mana Potion so you can build philosopher's stone on your first trip back.
You can also get Boots and some mana pots.
Tear of the Goddess because its passive is pretty good and with extra mana you can spam your abilities more often.
Manamune not a bad item giving you some AD
Ionian Boots of Lucidity because remember this build is to make Kayle ranged with Righteous Fury and with this build you will be ranged all the time with Righteous Fury at 9.6 sec cool down.
Nashor's Tooth AP and AS because you need to hit basic attacks too.
Hextech Gunblade Good item can't ask for better stats except if they switched AP and AD numbers.
Shurelya's Battlesong Finish off this item and use its active.
Black Cleaver Damage for late game

I have yet to try this build but try it and let me know how it goes in comments plz thanks lol im trying this build out as we speak and will post results in a few hours.