Why do Melik Shah I and Nizam al Mulk exist in Khwarezm characters?

[EastJerusalem]

Both of them, the Sultan and his Vizer were considered leaders from Seljuq Empires where the capital then movbed to Isfahan. But surprisingly, playing as Khwarezm, I had both characters appeared right after conquering Mashhad and besieging Nisaphur. It aint a big deal, as long as I dont find the characters in Oman for example, it doesnt really matter. Just wondering though

[zburanuki]

How these character appeared exactly?

[EastJerusalem]

Well, I besieged Nisaphur and failed, I consolidated a new army led by a 16 year old general appeared in Merv (or Marshhad not sure) named Melik Shah I. But I will double check on this later and report you back.

[zburanuki]

That Melik Shah you mention, is one of Shah's Tekish sons, that's why he appeared in Merv (wherever is your Faction Leader). But Nizam Al Mulk makes me wonder how can he even appear? He died around 1090!