Why do you think memory B cells are long lived ?
They have to remember the pathogen so if they die soon it will not be helpful
Millions of antibodies are produced by the plasma B cells specific to the antigen. The antibodies bind the pathogen and enable its phagocytosis by the macrophages and other phagocytes. But The B cells also divide and produce another type of cells called memory B cells. Memory B cells keep circulating in the blood for longer time periods and also specialize in retaining the memory of a particular antigen. So, if the same antigen is encountered again , it is rapidly neutralized initiating an effective secondary response.