What happens to internal links when switching to a bought domain while using the free plan?

Hello everyone. I currently have a blog on wordpress using their free plan. I was thinking of buying a domain through their Upgrades -> Domains feature.

If I were to stick with the free plan, what would happen to my public links once a domain is purchased? Do they automatically convert from, say, [myblog.wordpress.com/tes1](https://myblog.wordpress.com/tes1) to [myblog.com/test1](https://myblog.com/test1) or do they stay the same without being changed?

 

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