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I prefer ghost than ignite but it might be a personnal preference (i'm a fan of ghost).
About runes, i just don't know what to buy yet, i have full red MagPen atm (from my Amumu rune build) and I'm kinda blocked for her.
And i played with every other guides on this site, none fits to me better than this one.
I can screenshot in my history if you want to see KDR's i do with that build, but its not a good proof. I advise you to try it yourself before saying it's bad ?
Just some maths about the Trinity/Lich Bane :
Trinity = +130% of AD ; Lich Bane = +100% of AP
Endgame AD : 320 ; Endgame AP : 310
=> 130% of AD = 1.30x320 = 416 ; 100% of AP = 1.00x310 = 310
Trinity adds me 106 damage over the Lich Bane. Now we'll consider the cooldowns.
Trinity = 2 secs CD ; Lich Bane = 3 secs CD
We consider it ticks as soon as it's up. Within 30 seconds, Trinity ticks 15 times and Lich Bane 10 times.
=> Trinity : 15x416 = 6240 ; Lich : 10x320 = 3200
In 30 seconds, the Trinity Force deals 3040 damage more than the Lich Bane. That's why I chose it over the AP one.
Enjoy, Link.