System L in the MFC: In this case the mikroorganism is in the MFC with sufficient L-rhamnose. It comes to an expression of lacI which blocks the lac-promoter by binding and alr which switches L-alanine to D-alanine. Because of the fact that lacI blocks the lac-promoter the RNase Ba can't expressed.
System L outside of the MFC: In this case the mikroorganism could get out of the MFC by damage or incorrect handling. Outside of the MFC there isn't enough L-rhamnose. So... E.coli dies.