1(of an army etc) to be on the march; to advance
2(of a process etc) to proceed; to be in progress; to be underway
3(of people) to carry out; to conduct (an investigation or discussion etc)
Examples
nǐ你de的gōng zuò工作jìn xíng进行de得zěn me yàng怎么样？
你的工作进行得怎么样？
How is your work coming along?
如果你做慢一点,它就会进行的快一点。
If you do it a bit slower, it goes quicker.
让我们进行讨论。
Let's carry on the discussion.