Choisya dying?

Is my Choisya dying? There seems to be a few rather sad weeping branches. Do I just cut these at the base and remove? Leave alone? Or do something different?

 

Not sure what's causing those branches to wilt @Greenfield81 but could be either a fox, cat or dog marking territory perhaps.

I'd cut all the affected branches to the ground and hope whatever it is doesn't spread.

 

I've seen this on mine from time to time, you can usually trace back down the stems to live wood, and prune back to below it.
Never known the cause but possibly fungal.
Could be frost damage I suppose.