Do you really believe that second sentence?
Ukraine retains a strip of high ground in Kursk that is not worth much, but would be difficult to take, so Russia is just accepting it for the time being.
I remember once that Ukraine had made a beachhead in some swampy terrain east of the Dnieper river. Some Russians had suggested that Russian forces get rid of them post haste.
Most of the land is not swamp. The Russians cannot cross the river, and the Ukrainians cannot cross the minefield. The beachhead becomes unimportant, because it goes nowhere.
Putin, who knows something about strategy rather than PR stunts, knew that the Ukrainians were losing way too many troops there and said that they shouldn't be in such a rush to remove them. Now, Kursk is technically in 'old' Russia, so I imagine Putin wouldn't say the same thing with Kursk, but I can't help but think that he's using the same strategy now- to allow Ukraine to bleed itself out holding some tiny little towns in Kursk while Russia bleeds them out.
OK, three very different places have been confused together: Kursk is in Russia, Karkhiv in the northeast, and Kherson in the southeast(along the Dnieper River). A part of Kursk in the hills is still held by the Ukrainians. Not many people live in that sliver, and it is on very defendable high ground. The Russians were pushed out of Karkhiv, with little immediate hope of turning that around. Likewise, the Russians were pushed out of the city of Kherson, and all the Oblast of Kherson west of the Dnieper River.
The Ukrainians were NATO tech and strategies have no problem crossing a defended river. The Russians were Soviet tech and strategies cannot cross a defended river. So the Ukrainians can cross the Dnieper River any time they like, and can retreat behind the Dnieper River any time they like. The Ukrainians have not figured out a way through the 50 to 100 mile wide minefield on the other side of the river. NATO tech and strategies assumed that sappers could slip into minefields unnoticed. In this modern time of drones, drones will always notice sappers, and artillery will kill them.
Robots that can remove mines are being developed quickly. If they start working, Russia will be defeated.
Russians are hoping for a breakthrough in the middle of the line. They keep moving forward a bit every day, but have not had the breakthrough. If they get the breakthrough, they would move forward massively all at once.
So I can reasonably predict Ukrainian or Russian victory.