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She begins her video by reminding viewers that “a little over a year ago in Geneva, I told the nations of the world that gay rights are human rights and human rights are gay rights and that the United States would be a leader in defending those rights.”

“Now there were some countries that did not want to hear that,” she said. “But I believe America is at its best when we champion the freedom and dignity of every human being. That’s who we are. It’s in our DNA.”

As senator in 2011, Ms. Clinton backed New York’s same-sex marriage law after it was passed, butin an interview with gay publication The Advocate in 2011, she said she was with the president at that time in his support for civil unions but not gay marriage.

That appears to have changed, after President Obama said last May in an ABC interview that he supports gay marriage.

According to The Advocate, Ms. Clinton is the last of her family to come out in support of equal marriage.

The YouTube statement comes just days after husband and former president Bill Clinton said the Defense of Marriage Act ought to be struck down.