This logic is probably wrong:

if ($#ARGV != 0) {
    die " no argument was passed\n";
}
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I think you want to test equality, and the 0 may be wrong. It might help sort this out if you eliminated the shell by calling the list form of system and checking errors, system( '/path/to/perl', '/path/to/script2.pl', @theArray) and die $?, $!;