regex - include html tags but exclude self closing tags

[Badgers]

Hi,

I want to be able to process a string of html, but only to include html tags which are not self closing for example:

- <b>test</b> Include
- <b><br/><br />test</b> The br's to be excluded

I have this which sucks it all in. <[^/](.|\n)*?>.

Any help would be appriciated to finish the regex off.

Thanks