A regular on the London party scene, Kate Hudson stars on the January '09 cover of British Harper's Bazaar.

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Inside the mag, the actress who recently split from Lance Armstrong, reveals how she is looking for a relationship that is 'honest.'

'Other people can have "understandings" and not discuss things and turn blind eyes - but I couldn't exist in a relationship that wasn't straightforward and honest and sacred in that department,' she says.

You can catch the rest of her interview in the latest issue of Harper's, out today.