“that if children achieve great success in society, their parents will be respected by others"为动词think的宾语从句。这个宾语从句中有一个由if引导的条件状语从句if children achieve great success in society，在宾语从句中。
英语中如果将状语从句放在主句之前的话，主从句之间要加逗号。又如：
I'll tell him about it if he comes.
If he comes, I'll tell him about it.
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