I work and live in Luxembourg (non-Blue Card holder), my wife lives and works in Germany (Blue card holder). We want that she lives in Luxembourg but still remains working in Germany. She would be there a couple of days per week for working (she can also work remotely). We are starting the application for family reunification residence permit for her in Luxembourg.
Can she keep the Blue card and continue working in Germany?
Can she hold two residence permits, the family reunification issued by Luxembourg, and the Blue-card issued by Germany?