Possessive pronouns are used in English to avoid repeating information that is already clear.
This book is my book, not your book. (Sounds repetitive)
This book is mine, not yours. (Mine and yours are possessive pronouns)
This book is mine, not yours. (Mine and yours are possessive pronouns)
In the sentence, mine is a possessive pronoun that replaces my book.
In the sentence, yours is a possessive pronoun that replaces your book.
In the sentence, yours is a possessive pronoun that replaces your book.
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