Based on knowledge of the Paleozoic era, the following statements can be inferred:
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There was volcanic activity during the Paleozoic era. - This is inferred to be true, as volcanic activity is a natural geological process that has occurred throughout Earth's history, including the Paleozoic era.
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Dinosaurs existed in the middle part of the Paleozoic era. - This statement is false. Dinosaurs did not appear until the Mesozoic era, which follows the Paleozoic era.
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Marine organisms existed in the early part of the Paleozoic era. - This statement is true. The Paleozoic era is known for a rich diversity of marine life, especially during its early periods such as the Cambrian.
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Ammonites existed before the trilobites did during the Paleozoic era. - This statement is false. Trilobites appeared earlier in the Cambrian period, while ammonites evolved later, during the Devonian period.
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Erosion and deposition were processes that occurred during the Paleozoic era. - This is true, as erosion and deposition are fundamental geological processes that shape landscapes and have certainly occurred throughout the Paleozoic era.
In summary, the valid inferences from the statements provided are that volcanic activity, the existence of marine organisms in the early Paleozoic, and erosion and deposition all characterize the Paleozoic era.