This is the 264th most frequent Turkish word.
yaşadığı
"That he/she/it lives" or "that he/she/it experienced."
Here, "yaşadığı" is from "yaşamak" and refers to "what he/she/it experienced or went through," indicating a past event.
Savaş sonrası yaşadığı travma uzun süre etkisini gösterdi.
The trauma he experienced after the war had an effect for a long time.
In this case, "yaşadığı" implies "the hardships that he/she/it experienced," creating an attributive clause.
Onun yaşadığı zorlukları anlamaya çalışıyorum.
I am trying to understand the hardships he went through.
In this sentence, "yaşadığı" is derived from the verb "yaşamak" (to live) and functions as a participle phrase meaning "he/she/it has lived" or "where he/she/it has lived" depending on its usage.