Luke concluded his remarks about John by saying that this child, John, continued to grow (Τὸ δὲ παιδίον ηὔξανεν), just like every other child. This concept of the growing child will also be present with Jesus in the next chapter. John became strong in spirit (καὶ ἐκραταιοῦτο πνεύματι) as he grew stronger spiritually. He was in the wilderness or desert (καὶ ἦν ἐν ταῖς ἐρήμοις), just like the Israelites during the Exodus, until the day he appeared openly to Israel (ἕως ἡμέρας ἀναδείξεως αὐτοῦ πρὸς τὸν Ἰσραήλ). It is hard to figure out what an open or public appearance was, since there would be no big announcement or advertisement like today.
Once again, there is the problem of weeks and years. Clearly the text says weeks. Many have interpreted as years, 7 weeks as 7 times 7 or 49 years, and 62 weeks as 7 times 62 or 434 years. It would take a period of time to rebuild Jerusalem. That was clear and everyone knew and understood that. Who then is this new anointed prince? Is this a messianic expectation? From the time of the announcement of the rebuilding of Jerusalem, it would take 7 weeks (or 49 years) before this new anointed prince would take over. Was this a reference to the rebuilding of Jerusalem after the captivity or the 2nd century BCE Greek takeover of the Temple? Finally, it would take 62 weeks (434 years) to rebuild the city with streets and a moat. However, even this time would be troubled. There are more questions than answers here.