When I visited Russia in about 4 years ago there were still plenty of Lada cars driving around. Some of them looked quite new though so I think they must have continued to produce them well after they stopped selling them in the west.
Although judging by the state of some of the cars I suspect that there is no such thing as an MOT in Russia and a lot of people keep on driving old cars until they fail completely or cost to much money to fix.
