“Hanging isn’t the way most women commit suicide.”
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At least you used the qualifying word “most” here,because apparently some do,as my cousin did on April 11,1960.
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Yes, women do commit suicide by hanging but that is not the usual way.
An overdose of drugs is the usual way followed by cutting one’s wrists.
Drowning is next followed by hanging. Both of these means are easily committed by others and made to look like suicide.