The action settles a cross-border dispute with Tanzania over whether seized elephant tusks should be saved as legal evidence against poachers.
Global efforts to crack down on ivory trafficking are eating away at prices.
The latest deaths came less than two weeks after 26 elephants died from poisoning in two separate incidents outside Hwange National Park.
During Chinese President Xi Jinping's visit to Britain, the second in line to the throne records a message for a popular Chinese television show.
The announcement was welcomed by conservationists, who, citing its detrimental impact on wildlife, have long been pushing for an all-out ban.
The 13 adults and 12 pups were found on an isolated beach near Cape Lisburne.
In three years, and in spite of efforts to stop the slaughter, more than 100,000 elephants were killed for their ivory. What stands in the way of ending illegal poaching?
More than two tons of ivory were crushed, in a country renowned for being a hub for illegal tusks.
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