I think this message is the

name check.
finish of name check.
Both my wife and me had FP on 6.21. And my wife got this exact message:
I485: LUD 07/01/05
On June 29, 2005, the results of your fingerprint review for your I485 Application to Register Permanent Residence or to Adjust Status were received, and processing has resumed on your case. We will mail you a notice if further action is needed, or when a decision is made.

I did not get any message except the LUD on 6.22. I called VSC. The lady told me that my wife's case is completed and mine is pending....