Day does not have to be counted twice, then it is in the overlapping date ranges.
Sorry, my table :
ID Start End 1 2013.11.20 2014.01.10 2 2014.01.17 2014.01.30 3 2014.01.06 2014.01.27 4 2014.02.04 2014.02.23 5 2014.02.07 2014.02.17 6 2014.02.21 2014.03.08