When recruitment fails and the Board does not have the minimum number of members required per bylaws can the Board function and take actions?

Generally, your governing documents will state the minimum number of board members, and may also indicate that existing board members continue to serve on the board after the expiry of their term, until new board members step up.

However, in your case, if the existing board members have moved out or are otherwise unwilling to continue to serve, you need the advice of your legal counsel, your association's attorney, to determine how you conduct business with fewer than the minimum number.