Hello and thank you for your question.
The answer to your question is yes they can apply for British Citizenship. A link to further information about applying with the application forms and information on fees for making such an application can be found here: http://www.ind.homeoffice.gov.uk/britishcitizenship/
The link to how to apply can be found here: http://www.ind.homeoffice.gov.uk/britishcitizenship/applying/
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