17 Now it happened on a certain day, as He was teaching, that there were Pharisees and teachers of the law sitting by, who had come out of every town of Galilee, Judea, and Jerusalem. And the power of the Lord was present to heal them.
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It seems to me that Luke is seeking to emphasize that it was not only in Jesus' teaching or words that power was present, but that He also displayed the same power through His actions. As Jesus Himself noted after forgiving the sins of the paralytic who was brought to Him -- which, despite the paralytic's physical ailment, was really the paralytic's more fundamental spiritual need, but for which action by Jesus the Pharisees considered Him guilty of blasphemy, since only God had the power to forgive sins -- it was "easy" for Him to merely say the words "Your sins are forgiven." But, as concrete proof that He had the actual authority to forgive sins, He then displayed His healing power as God incarnate (referred to by Luke in the verse cited in the question, which He always possessed, and of which He gave visible evidence in all the healings that He performed) by commanding the paralytic to rise and walk.
Romans 1:16 For I am not ashamed of the gospel of Christ, for it is the POWER of God unto salvation to everyone that BELIEVETH, to the Jew first, and also to the Greek. John 1:12 But as many as received Him, to them gave He POWER, to become the children of God, even to them that believe on His name. John 6:40 And this is the will of Him who sent me, that ALL that seeth the Son, and believeth on Him, may have EVERLASTING LIFE, and I will raise him up on the last day.
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