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The clubbing of the fingers and toes is more common a symptom of pulmonary disease such as COPD --- ( are you a smoker ?)
If the white cells are progressively going up then an infection could be reason such as pneumonia ...but if not seeming to be related to infection then a hemologist / oncologist would commonly be consulted ...concern as to other problems may cause dramatic rise of blood counts such as a lymphoma or leukemia ...
I don't know your blood count results or other tests that may be pertinent to the overall picture _( chest CT ??)
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Thank you and Best Regards,
Anthony Bray MD