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it's slightly damp, she's been in heavy rain in the last few hours -
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no rain anywhere in London in that time.
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Under her coat collar is damp too.
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She's turned it up against the wind.
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She's got an umbrella in her pocket, but it's dry and unused.
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Not just wind, strong wind - too strong to use her umbrella.
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We know from her suitcase
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that she was intending to stay overnight,
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but she can't have travelled more than two or three hours,
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because her coat still hasn't dried.
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So, where has there been heavy rain and strong wind
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within the radius of that travel time? Cardiff.