My ex moved on so fast. How can I overcome the pain?

You both are on polar opposites of the scale.

I.e. you thought that you had the perfect deal whereas they had already made up their mind and just weren't as emotionally invested in it as you were.

This happened long or shortly before they physically left.

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This is why comparing yourself to them in terms of the healing process isn't going to help you in any way, shape or form.

On their side, there has been a process of emotionally and mentally checking out while you were still together and while you were under the impression that everything is cool.

Instead, focus on taking care of, solving and healing what you are experiencing right now.

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So, don't try to compete with them.

Simply put, because they have been prepared and you weren't.

And during this process, they either started seeing someone new who they planned to secure as their rebound option or were busy creating their post-breakup plan.

What does it mean when someone leaves something in your house, your room to be exact, and when you tell them, they say they left it there on purpose?

What they do doesn't matter and it's completely irrelevant to your healing process, though it’s valid to hate and judge them harshly for leaving the way they did.

This is why you can't expect them to feel anything close to what you're feeling right now, because you and them are on a completely different stage in the healing process.