長期的合作關係

long-standing relationship

http://collocationdictionary.freedicts.com/search1?word=relationship

重要的決定

a crucial decision/question

良好記錄

形容詞+N14-proven track record

根深蒂固的仇恨

形容詞+N 7-deep rooted enmity

多產作家

最佳條件

The optimal conditions for the anaerobic digestion are the following.

厌气消化的最佳条件如下。

艱苦的任務

可怕的
形容詞+N 2: daunting  task

• They were faced with the daunting task of restoring the house...
  他们面临着修复房子的艰巨任务。