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Its never a good idea to simply leave something on your computer, because you don’t think it is doing any harm. How do you know what it is doing!! you don’t.
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Moving it to the chest whilst you investigate it is the safest option. Google check saap.exe and New Wave and see what comes up.
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avast won’t just throw it up for no reason and like Eddy I don’t think it is a false positive, but that can be checked at: Jotti - Multi engine on-line virus scanner www.virusscan.jotti.dhs.org if any other scanners here detect them it is less likely to be a false positive.
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If you send it to avast you may get confirmation that it is indeed a virus, I don’t but they would undertake to fix a trojan file and send it back. Trojan files are not repairable as they haven’t infected a file on your system.