Jesus continued proclaiming
In the synagogues
καὶ ἦν κηρύσσων εἰς τὰς συναγωγὰς τῆς Ἰουδαίας.
Luke said that Jesus continued to proclaim or preach (καὶ ἦν κηρύσσων) his message in the synagogues of Judea (εἰς τὰς συναγωγὰς τῆς Ἰουδαίας). Mark, chapter 1:39, had something similar, but Mark said that it was Galilee and not Judea. Mark also said that Jesus was casting out demons. He seemed very intent on emphasizing that Jesus was casting out demons along with his undefined preaching. Matthew, chapter 4:23, was also somewhat similar, since Matthew implied that Jesus went all over Galilee, teaching in their synagogues. The synagogue was a new developing Jewish gathering place that might mean a group or assembly of Jewish people rather than a building, since some places may not have been able to afford a building. Matthew said that Jesus was proclaiming the good news or the gospel about the kingdom, without saying whether it was the kingdom of God, the kingdom of heaven, or even an earthly kingdom. What did Luke mean here by saying Jesus was in the synagogues of Judea, when the other two synoptics clearly stated that it was in Galilee? Actually, later in this work, Luke had Jesus go to Jerusalem.