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Default Identify month in a period and run a formula

I am having trouble with creating this one formula. Can anyone help? I have
two columns of dates (start and finish dates). I would like to identify a
month (e.g April)that occurs in the period between start and finish and then
if the month of April does occur in the period, calculate the number of
months between start and finish and divide by a constant (a figure saved on a
different sheet). So far I have this:
=IF(AND(("01/04/2005"=MIN(I20:I23,H20:H23)),"31/04/2005"<=MAX(I20:I23,H20:H23)),SUM((D18/((YEAR(I20:I23)-YEAR(H20:H23))*12+MONTH(I20:I23)-MONTH(H20:H23)))/60),"0")
but I need one formula that does this if it meets the condition and then sum
the results. At the moment it returns zero if all the dates do not meet the
condition.
 
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