If you want to find and move files that do not match your pattern (move files that don’t contain 'Subject \[SPAM\]' in this example) use:
grep -L -Z -r 'Subject: \[SPAM\]' . | xargs -0 -I{} mv {} DIR
The -Z means output with zeros (\0) after the filenames (so spaces are not used as delimeters).
xargs -0
means interpret \0 to be delimiters.
The -L means find files that do not match the pattern. Replace -L with -l if you want to move files that match your pattern.
Then
-I{} mv {} DIR
means replace {} with the filenames, so you get mv filenames DIR.