Neither can I, Lily [understand that explanation].

'coordinate' is to work together so that activities are carried out in the right way and at the right time in order to make the overall process efficient. They do not necessarily have to be synchronous [or synchronised] i.e. at the same time. Two or more people or jobs may be consecutive i.e. following on one after the other. When two people agree to coordinate their work it means that they will be in contact and discuss progress so that both can work more efficiently.

'incorporate' [not corporate] means to include a function, role, process, activity, or business within a wider one. e.g. 'Our Customer Service staff are incorporated within the Sales and Marketing department.'

'Guangdong Electrical Supply Co. will be incorporated in Guangzhou Power' i.e. will become a part of [<em style="color: rgb(136, 136, 136);">I made this up, it's probably not true</em>].

I have just seen Ian's comment [below] and, of course, he is right : the word you probably meant is 'cooperate'. This also means to work together, but with less emphasis on the timing and sequence of activities.

I have never used corporate, and I am a native speaker.

Perhaps you mean cooperate? (We pronounce it like co-operate, with a space.)

Thank you so much guys!