## hear this ##

"heard that Jesus began to teach in Galilee"

## whether ##

"if"

## the man ##

This refers to Jesus.

## he discovered ##

"Pilate discovered"

## he was under Herod's authority ##

The passage does not state the implied fact that Herod was the ruler of Galilee. You could make this information explicit: "Jesus was under the authority of Herod because Herod ruled over Galilee." (See: [[rc://en/ta/man/translate/figs-explicit]])

## he sent  ##

"Pilate sent"

## who himself  ##

This refers to Herod.

## in those days ##

This could be translated as "during the Passover Festival."