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Doctors, meanwhile, said Mrs. Clinton appeared to be happy and doing well Monday evening.

“The secretary is making excellent progress and we are confident she will make a full recovery,” Dr. Lisa Bardack of Mount Kisco Medical Group and Dr. Gigi El-Bayoumi of George Washington University said in a statement issued by the State Department.

“She is in good spirits, engaging with her doctors, her family, and her staff,” the statement said.

Dr. Gholam Motamedi, a neurologist at Georgetown University Medical Center who is not involved in Mrs. Clinton’s care, told The Associated Press that the seriousness of a blood clot “depends on where it is.”

Clots in the legs generally are regarded as “no big deal” and are treated with six months of blood thinners to allow them to dissolve on their own and to prevent further clots from forming, Dr. Motamedi said.

But a clot in a lung or the brain is more serious, he said, adding that keeping Mrs. Clinton in the hospital for a couple of days could let doctors perform more tests to determine why the clot formed and to rule out a heart problem or other condition that might have led to it.