What does yellow highlighted text mean?

I think it is letting you know that 一緒に is part of the grammar construct. The question is asking for “won’t you study~with me”. The “with me” is part of the grammar construct they are asking for, but you don’t have to input that part because they already did that for you. I think they are just drawing your attention to that fact by highlighting it, so you know it’s not something you need to input.

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