Some fragments have verbs, but their subjects are missing. By dancing and singing all night. By dancing and singing all night is a fragment without a subject. The white mice celebrated by dancing and singing all night. They were dancing and singing all night.
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These fragments do not have subects and verbs. They often begin with words like including, such as, for instance , or especially. They often sneak into papers when writers wish to further explain something or add details. This type of fragment is often best corrected by attaching it to the sentence before it. Including pins, belts, pearls, flowers, and bows.