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I would guess that they would probably not manage to achieve it, a lot of teams try to get out of relegation zone, but the thing about relegation is that some teams have to go down, there isn't really an option that they could stay, they just have to go down and that's what they do. If that is a mathematical must, if some teams have to go down then I do not see why not them.
They look like one of the worst teams in the league and if they do manage to go down then it would make sense. I am not really sad or upset about that one, but Empoli and Cagliari are very long standing teams who has done great in history and they haven't been that great recently and looking like going down again, which is quite said when you see that, I have to say it is not really that nice of a feeling.
There are 20 games to go from now and it is only 5 points between Udinese as 15th and Salernitana as 20th. That leaves Salernitana with three spots to realistically go for to avoid relegation at the end of the season. That doesn't sound to me as if that was a mission impossible. The win has shown that they are still alive and kicking. If they can beat Verona, nothing speaks against beating any of the other four teams that are in the relegation area. Frosinone hasn't won any of their last five games and is crashing at the moment.