I’m surprised they went for Kiev. I doubt they will take Lviv. It is likely to be too costly to take and hold the old Austro-Hungarian provinces around Lemberg.
I thought that the Russians would slice off the part east of a line southwest from Karkiv to the Dneiper and then west to the Moldavia border. That’s a lot for the size of their forces and it would achieve the objective of destroying the Ukrainian forces on the line of contact with Donetsk and Lughansk.