The invention provides an ethylene-based polymer comprising the following properties: a) a melt index (12)>2.0 dg / min; b) a Mw(abs) versus 12 relationship: Mw(abs)<A+B(I2), where A=2.40×105 g / mole, and B=−8.00×103 (g / mole) / (dg / min); and c) a G′ versus 12 relationship: G′>C+D(I2), where C=127.5 Pa, and D=−1.25 Pa / (dg / min). The invention also provides an ethylene-based polymer comprising the following properties: a) a melt index (12)>2.0 dg / min; b) a G′ versus 12 relationship: G′>C+D(I2), where C=127.5 Pa, and D=−1.25 Pa / (dg / min) c) a chloroform extractable (Clext) versus G′ relationship: Clext.<E+FG′, where E=0.20 wt %, and F=0.060 wt % / Pa; and d) a “weight fraction (w) of molecular weight greater than 106 g / mole, based on the total weight of polymer, and as determined by GPC(abs),” that meets the following relationship: w<I−J(I2), where I=0.080, and J=−4.00×10−3 min / dg.