I hasten to add that I have no personal interest. I just want to compare the expressions.

Thanks in advance.

The English "to come out of the closet" has no direct equivalent in modern Russian. The offering form ivann is good as far as literal translation(?) goes, but the only people who'd understand it would be those familiar with the English saying. There are ways to convey the meaning, but it requires context. For example, "быть в отказе" can be used for "to stay in the closet"; and though it is a rough Russian for "to be in denial" it is sometimes, in certain contexts, can provide a spring board for successful rendering of "to come out of the closet". There is also a very sparringly used term "каминг-аут" (used as a noun), and though its merits are highly questionable it is nevertheless there. (For instance Russian Wikipedia recognises it, for all that it's worths). The long and the short of it: there isn't a direct equivalent at the moment, there are, I am sure, some phrases that are used in certain small communities, but nothing as widespread and universally understood as "coming out form the closet" is in modern English. Ergo: context is needed for every single case.