en_tn/luk/24/45.md

He opened their minds

"He enabled them to understand" (UBD)

Thus it is written

"This is what people long ago wrote"

repentance and forgiveness of sins should be preached

This can be translated with active verbs: "the Messiah's followers should preach that people need to repent and have God forgive their sins." (See: rc://en/ta/man/translate/figs-activepassive)

on the third day

"after two nights"

all the nations

"all the ethnic communities" or "all the people-groups"