Powershell Select-String -pattern -notMatch
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$LocalAdmins | select-string -Pattern 'Administrator|daemon' -NotMatch | select -expa line-pattern accepts REGEX. You can use the | ( or regex operator ) to add others words to fit your needs.
Assuming that $LocalAdmins is an array you could do this:
$exclude = 'Administrator', 'Domain-Administrator', 'daemon'$LocalAdmins | Where-Object { $exclude -notcontains $_ }