1.manage to do sth 设法完成……

例句：Can you manage another piece of cake? (= eat one)

你还能再吃块蛋糕吗？

We managed to get to the airport in time.

我们设法及时赶到了机场。

How did you manage to persuade him?

你是怎么说服他的？

He always manages to say the wrong thing.

他总是哪壶不开提哪壶。

We couldn't have managed without you.

没有你,我们就办不成了。

'Need any help?' 'No, thanks. I can manage.'

"要帮忙吗？" "不了,谢谢。我应付得了。"

2.diversify (sth) (into sth) 增加…的品种；从事多种经营；扩大业务范围

SYN branch out

例句：Farmers are being encouraged to diversify into new crops.

目前正鼓励农民兼种新的农作物。

3.take account of sth/take sth into account 考虑到；顾及

例句：The company takes account of environmental issues wherever possible.

只要有可能,这家公司总是尽量考虑到环境问题。

Coursework is taken into account as well as exam results.

除考试结果外,课程作业也要计入成绩。

The defendant asked for a number of other offences to be taken into account.

被告要求考虑其他一些罪行。

4.as far as I'm aware 据我所知

例句：As far as I'm aware things have all been sorted out, there's no problem.

据我所知，续约的障碍已经排除，没有问题了。