en_tn/1th/02/04.md

approved by God to be trusted

Paul was tested and proven trustworthy by God.

we speak

Paul is referring to preaching the gospel message. (See: rc://en/ta/man/jit/figs-explicit)

who examines our hearts

The word "hearts" is a metonym for a person's desires and thoughts. Alternate translation: "who knows our desires and thoughts" (See: rc://en/ta/man/jit/figs-metonymy)