The term "exposure of their" is correct in written English.
You can use it when you want to talk about the revealing of something that belongs to someone else. For example, "The journalist wrote an article about the exposure of their shady business practices."
Rollins has witnessed his share of athletes who dissolved in tears upon exposure of their lies.
They did not use that decline to reduce the recommended equity exposure of their portfolios.
Embarrassed by the exposure of their operation, the secret police reacted by firing and threatening to harm reporters.
The response to the recent exposure of their activities provides ample evidence of both democratic impatience and democratic complacency.
And who can forget Andy Gray and Richard Keys? Exiled still following public exposure of their studio sexism.
Still, there are people untroubled by total exposure of their lives, and one would think they'd be fair game for such a morbid experiment.
Mainstream economics professors fear the exposure of their longstanding intolerant exclusion of most strong critics of capitalism from teaching and research opportunities.
It is doubtful that France will pull its forces out of Afghanistan in response to the attacks, but Paris may very well limit the exposure of their troops.
He also said politicians are driven away from a career in parliament because they fear the exposure of their private lives that will follow in the media.
That debate, said Michael McKeon, Mr. Pataki's spokesman, would be with all candidates -- a usual tactic for incumbents who try to minimize the exposure of their challengers.
It will be harder to maintain the pretence of good relations with Saudi Arabia and the Gulf states because of exposure of their fear of Tehran.
