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Introduction Destination: section.0.1 Item: Title: 2. Preliminary results Destination: section.0.2 Children: Item: Title: 2.1. First integrals and integrating factors Destination: subsection.0.2.1 Item: Title: 2.2. Invariant algebraic curves Destination: subsection.0.2.2 Item: Title: 2.3. Extactic polynomial Destination: subsection.0.2.3 Item: Title: 2.4. Poincaré compactification Destination: subsection.0.2.4 Item: Title: 2.5. Topological equivalence via separatrix configuration Destination: subsection.0.2.5 Item: Title: 2.6. Quadratic systems with an invariant ellipse and an invariant straight line Destination: subsection.0.2.6 Item: Title: 3. Main results Destination: section.0.3 Item: Title: 4. Proof of Theorem 4 Destination: section.0.4 Item: Title: 5. 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