Can someone serve on a Home Owners Association Board while being in Liz Pendens? Their property tax lien was sold at auction BUT they continue to pay

i'm not sure based on the information what the question is.  A Lis Pendens is only a type of lien or claim against a property.  It is a notice that some amount is being claimed.  If the property taxes are due, the tax assessor sells a lien against the property.  A person can pay the taxes on the property and then get the right to collect the taxes when the owner sells the property.  You should look in the homeowners association bylaws to see if there is a qualification that anyone serving on the board has to have their taxes be current.