If I buy a used Xbox 360 in the UK and plans to use it in Singapore, will have Xbox Live?

I plan to buy a used car from the Xbox 360 in UK but I am concerned about whether the Xbox Live will work I move to Singapore. I'm not concerned about the region locked games once i move, however, because all games are planning to buy region free. My main concern is to live. The console I'm ready to buy is not prohibited in Vivo – I checked and verified with my own eyes.

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