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Quite right, "UK" is an abbreviation for "The United Kingdom of Great Britain and Northern Ireland"
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I could also mention Manx Railways, which are historic heritage lines, but there are at least three railway lines there that are mostly used by tourists and some commuters.

The Isle of Man has a curious relationship with the UK. As a Manxman once said to me, the government there is British when it feels like it and not British when it feels like it.

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