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We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1, 2, 3 are completely characterized. 2010 Mathematics Subject Classification. 34C05, 34A34, 34C14.doi:10.14232/ejqtde.2015.1.55 fatcat:4qv7vlhinjalvmu6lxhcawhatq