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Because… I was posting at 12:26:37 AM 
Now I’ve just tried, and Avast did not detect Eicar.com execution in Dosbox on my 64bit Windows.
I guess such behavior is expected, is that right Igor?
EDIT:
After a while I’ve noticed “Virus Found … Process PID 4292”, see screenshot below.
Perhaps, Avast does not detect execution but it detects the Dosbox process using the file anyway.
And, Avast DOES detect eicar.com when I download it.
Bob, I don’t care about Eicar.com as such, but I am curious because I have some old DOS and WIN 16bit programs which I might execute in virtual boxes sometimes.