"The children of Judah couldn’t drive them out" (15:63). Then was Jerusalem taken or not?

The Bible tells of Jerusalem in several places, and they are best read side by side. Earlier in Joshua, Adoni-Zedek "king of Jerusalem" called four other kings to strike Gibeon (10:1-5), and Joshua put the five kings to death (10:23-26); the chapter doesn't say the city was taken. Judah's border runs along "the side of the Jebusite (also called Jerusalem) southward" (15:8), and at the end of the chapter: "As for the Jebusites, the inhabitants of Jerusalem, the children of Judah couldn’t drive them out; but the Jebusites live with the children of Judah at Jerusalem to this day" (15:63). Benjamin's list includes "the Jebusite (also called Jerusalem)" among its cities (18:28). Judges says, "The children of Judah fought against Jerusalem, took it, struck it with the edge of the sword, and set the city on fire" (Judges 1:8), and a few verses later, "The children of Benjamin didn’t drive out the Jebusites who inhabited Jerusalem, but the Jebusites dwell with the children of Benjamin in Jerusalem to this day" (Judges 1:21), in almost the same words as Joshua 15:63, but with Benjamin in the place of Judah, and "didn’t drive out" where 15:63 has "couldn’t drive them out". Later still, a Levite won't stop there: "We won’t enter into the city of a foreigner that is not of the children of Israel" (Judges 19:12). And under David: "The king and his men went to Jerusalem against the Jebusites", and "David took the stronghold of Zion. This is David’s city" (2 Samuel 5:6-7). The Bible sets these accounts down without saying how they fit together, and this chapter doesn't either.