Two unary minus signs is the same as a plus sign, but affixing a plus sign
to an expression does not force a calculation to take place. When no
calculations are being done to a logical expressions (or a number that is
being returned as text), the double unary forces a calculation (minus one
times minus one times the TRUE or FALSE returned by the logical expression)
to take place... that is why it is used. The first argument in the
SUMPRODUCT function in the formula you posted does, in fact, have a
calculation taking place, so the double unary minus signs are unnecessary.
This should return the same thing your formula does...
=SUMPRODUCT((ProblemClosedDate>=$B21)+(ActionClosedDate>=$C21),--(ProblemClosedDate<>""),--(ProblemOpenDate<$F20),--(LOB=$E21),--(DueDateVersion>$D21))
although I have to admit that looks like an odd construction to me. Are you
sure there is not missing comma between the first two arguments of the
SUMPRODUCT function in the formula as you originally posted it?
Rick