As the words begin to flow, the ideas will come out from the shadows and let themselves be captured on your notepad or your screen.
分析主干:the ideas will come out and let themselves be captured...
句首的as 引导时间状语从句。主句部分是复合谓语,有两个由and 连接的并列谓语。
译文:随着话语开始流淌,思想也会逐渐明朗化,使自己呈现在你的笔记本或者屏幕上