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2y\left(x+1\right)+3\left(x+1\right)
Do the grouping 2xy+2y+3x+3=\left(2xy+2y\right)+\left(3x+3\right), and factor out 2y in the first and 3 in the second group.
\left(x+1\right)\left(2y+3\right)
Factor out common term x+1 by using distributive property.