Ksh Statement with muliple and \or conditions

Hi,

I'm trying to write an if statement that has 3 'and' conditions combined with an 'or' for an additional 3 'and' conditions i' have tried a bracketting the statements but either get syntax errors or it hits the first condition and breaks out of the if statement. I've hit a bit of a wall and can't work out what to do nextto make it work. below is the last attempt that failed:

if [ [[ $dbname = PD_EUDW ] && [ $DAY = SAT ] && [ $HOUR > 19 ]] ||
         [[ $dbname = PD_EUDW ] && [ $DAY = SUN ] && [ $HOUR < 20 ]] ]
       then    
              echo $(date +%H:%M:%S) "            " $dbname ":" $Daily ".....Hourly Collection BLACKOUT IN FORCE " >> $LOGFILE
       else
                  echo $(date +%H:%M:%S) "         " $dbname ":" $Hourly ".....Hourly Collection Running " >> $LOGFILE
                  db2 "call perform.$Hourly('$dbname','$DB2DATE')" >> $LOGFILE
fi