Bloomberg.com reports that in order for Zimbabwe to export diamonds freely, they must prove they have a plan to stop smuggling.
The story is quoted as saying:

The deposits in eastern Zimbabwe could generate $2 billion in annual export income, the state-controlled Herald newspaper cited mines minister Obert Mpofu as saying in October. Zimbabwe, a member of the Process, isn’t certified to exports the gems from the field because it has not met a standard to demonstrate that proceeds from sales aren’t financing conflict.

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