I have not looked at that jurisdiction in quite some time but I would be confirming that bearer shares and nominees shareholders are not allowed. I imagined that you confirmed that they actually purchase the real estate?
Regarding the LLC itself - if it's a real estate holding company that's not unusual assuming you that you see the typical activity for such an account.
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"100 victories in 100 battles isnt the most skillful. Subduing the other's military w/o battle is the most skillful." Sun-Tzu