Giải các bất phương trình:$\begin{array}{l}1)\,\,\,\,\,{\log _3}\left( {x + 2} \right)\left( {x + 4} \right) + {\log _{\frac{1}{3}}}\left( {x + 2} \right) < \frac{1}{2}{\log _{\sqrt 3 }}7\\2)\,\,\,\,\,{\log _{\frac{1}{2}}}\left( {x + 1} \right)\left( {x + 3} \right) + {\log _2}\left( {x + 3}\right) > - 2{\log _4}11\\3)\,\,\,\,\,2{\log _{25}}\left( {1 + x} \right)\left( {3 - x} \right) - \frac{1}{2}{\log _{\sqrt 5 }}\left( {1 + x} \right) > {\log _{\frac{1}{5}}}\frac{1}{2}\end{array}$