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Express each of these statements using mathematical and logical operators, predicates, and quantifiers, where the domain consists of all integers.

  1. The sum of two negative integers is negative.
  2. The difference of two positive integers is not necessarily positive.
  3. The sum of the squares of two integers is greater than or equal to the square of their sum.
  4. The absolute value of the product of two integers is the product of their absolute values.

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