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The investigation, which follows a broadcast by Channel 4 News, is being folded into the inquiry that has been under way into other donations.
The decision, announced by the chief of defence, comes just two months after Uganda said it would participate.
The prime minister says he will fund defence and get the welfare bill down in "the Labour way".
A 32-year-old man and two women, aged 19 and 23, have been charged following the collision, which happened near Edinburgh Airport.
Officers give PC Matthew Blades a guard of honour as people line the streets for his funeral.