If \(Y = \;\frac{{2 - X}}{{1 + X}}\), then what is the value of \(\frac{1}{{Y + 1}} + \frac{{2Y + 1}}{{{Y^2} - 1}}?\)

• A. \(\frac{{\left( {1 + X} \right)\;\left( {2 - X} \right)}}{{2X - 1}}\)
• B. \(\frac{{\left( {1 - X} \right)\;\left( {2 + X} \right)}}{{X - 1}}\)
• C. \(\frac{{\left( {1 + X} \right)\;\left( {2 - X} \right)}}{{1 - 2X}}\)
• D. \(\frac{{\left( {1 + X} \right)\;\left( {1 - 2X} \right)}}{{2 - X}}\)