The Duchess of Cambridge, as Patron of Action on Addiction, is visiting the charity's Hope House treatment centre in Clapham, south London.
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Theresa May and Jean-Claude Juncker held tense discussions the morning after EU leaders rejected her attempts to win fresh concessions.
The charge will come into effect from 2021 when the UK's two-year transition period with the EU ends and Britain officially leaves the bloc.
Harry and Meghan have chosen a photo showing them on their wedding night, while William and Kate are with their children on a tree trunk.