Home Secretary Theresa May told ITV News she believes a reduction of the abortion limit to 20 weeks from pregnancy, instead of the current 24 weeks, would be "right".
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The prime minister's announcement came as international leaders gather in Paris on the second anniversary of the climate change plan.
Prime Minister Theresa May said in October the Government will shift towards an organ donation system in England which presumes consent.
Gove's comments came as a draft bill enshrining animal sentience into UK law was published.