Through the mid-point \( M \) of the side \( C D \) of a parallelogram \( \mathrm{ABCD} \), the ...

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Through the mid-point \( M \) of the side \( C D \) of a parallelogram \( \mathrm{ABCD} \), the line \( \mathrm{BM} \) is drawn intersecting \( \mathrm{AC} \) in \( \mathrm{L} \) and \( \mathrm{AD} \) produced in \( \mathrm{E} \). Prove that \( \mathrm{EL}=2 \mathrm{BL} \).
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