‘ And YHWH delivered them into the hand of Israel, and they smote them and chased them to Great Zidon (see Joshua 19:28), and to Misrephoth-maim, and to the valley of Mizpeh eastward, and they smote them until they left them none remaining.'
The battle appears to have taken place in Northern Galilee. The host scattered in a number of directions with the determined Israelites, heated for battle and inspired by YHWH, chasing them relentlessly, with instructions from Joshua that all must be slaughtered. Some were even chased so far that they were only caught as they approached the territory of Great Zidon, the important Phoenician seaport. (Zidon was split into Greater Zidon and Lesser Zidon). The non-mention of Tyre is significant as reflecting a time when Tyre had not yet come into prominence. Its rise to prominence began when the Philistines plundered Zidon in around 1200 BC. Thus this material is very early.
Misrephoth-maim is not certainly identified. It has been equated with the River Litani, south of Zidon. It was also in Zidonian territory (Joshua 13:6). Still others were chased in the opposite direction towards Mount Hermon. Joshua's relentless aim was to kill as many as possible in order to make a later campaign in the North a little easier.
“Until they left them none remaining.” That is, as far as it was possible. Some good number would inevitably escape.