Como explicado em uma resposta do Quora ,
Valar Morghulis means "All men must die", is a customary saying in Essos traditionally answered with Valar Dohaeris meaning, "All men must serve".
What most people think it means is that "Death is inevitable". However, people fail to see a deeper underlying message.
When someone says Valar Morghulis, they are acknowledging the finality of death. And then the other person replies with Valar Dohaeris, implying that though death will come for all, every man/woman must serve their purpose in life before dying.