Most of the time, the data should appear the same.

Sometimes there can be slight discrepancies because:

the domain is inputted slightly differently (eg. you include a /  after your website URL, or you search with/without www )
we obtain Majestic data through their API, which is not necessarily 100% the same as what they are showing to end users and
we periodically update trust flow and citation flow, so the data is not real-time.
we are checking the metrics for the URL and not the Root Domain. If you are cross checking with Majestic, make sure that you select URL.

There's a very small difference, but that can sometimes be confusing. We are just reporting the data, as they are sending it to us. From our experience, we've noticed that the differences are very small.
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