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Not exactly hitching, but you can get a marshrutka (mini bus) from the train station going to the closest Polish border point, the Shegyni-Medyka crossing, which is not far from [[Przemyśl]] in Poland and on the E40/M11 road. It costs 14 15 UAH (Nov 2009). Look or ask for one that says ''Lviv - Shegyni'' '''(Львів-Шегині)'''. It is allowed to cross the border on foot. There might be a long queue, as cigarette smuggling is a big problem so they have to do random checks. If you are not Polish or Ukrainian let the border guards know and they will move you to the front of the queue.