If the label says it's real fur, can you be sure it's not fake?

Mislabelling of materials adds to confusion, as the debate over the use of fur in fashion continues
First published in 1903, South China Morning Post is Hong Kong’s premier English language newspaper and has the city’s most affluent and influential readership. With a reputation for authoritative, influential and independent reporting on Hong Kong and China. The newspaper is supported with its online publication and its Sunday edition, Sunday Morning Post.
Whether one is pro or anti-fur, it is assumed that buying, say, a parka or bag with fur trim is clearly marked on a tag. Regrettably, this isn’t always the case.

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If the label says it's real fur, can you be sure it's not fake?