BMW 323i & 328i not for UK?

[Goran]

BMW, I know, I apologise in advance

I'm hoping someone on here is a BMW guru, to answer a mystery.

I have been looking around for a hard-top convertible, and was considering a BMW E93. I am surprise that I can not find a single 323i or 328i on autotrader.
No E90's of any version, convertible or otherwise.
Am I missing something, were 323s and 328s never brought to the UK?