When I draw venn diagram on three sets:

set1={a,b,c,e,d,h}
set2={a,c,e,f,h}
set3={b,d,f,g,h}

https://chart.googleapis.com/chart?cht=v&chd=t:6,5,5,4,3,2,1&chs=300x200

all={a,b,c,d,e,f,g,h}
set1-only=null
set2-only=null
set3-only={g}
set1 and set2 not set3={a,c,e}
set1 and set3 not set2={b,d}
set2 and set3 not set1={f}
set1 and set2 and set3={h}

Although there is no element that is set1-specific, there is also no
element that is set2-specific, there are area that is set1-only and
set2-only in the venn diagram. Is this one of the cases where venn
diagram cannot be plotted?

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