Neosporin usually helps open cuts heal faster because it kills the bacteria that are all around us and on us. A lot depends on how deep and wide the cut is, as to how fast it heals, as well as your own body's chemistry. If it's not healing, slow or fast, maybe you should see a doctor. BUT today is only Sunday.
Rhetorical question: Are you keep it clean and sealed (like a band-aid) when not bowling?
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"None are so blind as those who will not see."