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Your parents should not be using a false SSN for their employment. The preparer should not be overlooking the SSN and the ITIN use.
It is legal for them to file a resident return because residency for taxes and immigration are two different issues.
They have been here long enough to be taxed as resident aliens.
Everything else is illegal (the false SSNs and working without authorization).
The W2s will not pass the test when they are received by the IRS.