use strict;
use warnings;

my $out = "Backup/backup.txt";
my $logfile="log.txt";
# Single quotes for more aethestically pleasing strings
my $MAL = '"_';
my $endstring = '"';

# Build a regular expression
my $re = qr[($MAL.*?$endstring)];

open LOG, "<", $logfile or die "Cannot open $logfile for read :$!";
open OUT, ">", $out" or die "Cannot open $out for write :$!";

while (<LOG>) {
  # Grab all strings that contain this regex
  if (/$re/) {
    # Save them all in $out
    print OUT $1;
  }
}