Albert Barnes on Acts 28:23

Appointed him a day. A day when they would hear him.

To his lodging. To the house where he resided, Acts 28:30.

He expounded. He explained or declared the principles of the Christian religion.

And testified the kingdom of God. Bore witness to, or declared the principles and doctrines of the reign of the Messiah. Mt 3:2.

Persuading them concerning Jesus. Endeavouring to convince them that Jesus was the Messiah.

Both out of the law of Moses. Endeavouring to convince them that he corresponded with the predictions respecting the Messiah in the books of Moses, Gen 49:10; De 18:18, and with the types which Moses had instituted to prefigure the Messiah.

And out of the prophets. Showing that he corresponded with the predictions of the prophets. Acts 17:3.

From morning till evening. An instance of Paul's indefatigable toil in endeavouring to win his own countrymen to Jesus as the Messiah.

(e) "lodging" Phm 1:2 (f) "expounded" Lk 24:27, Acts 17:3, 19:8 (g) "law and prophets" Acts 26:6,22 (+) "testified" "bore testimony to"