Creating tracks for moving points (while discarding records without movement)

Use Menu Processing / Toolbox / Aggregate. In the field Group by expression (NULL to group all features) set this expression "id" || "latitude" || "longitude" (replace id latitude and longitude with the exact names of your fields) and decide for each of the fields how they should be aggregated. For id, latitude and longitude, you can select first value, for timestamp (and other fields, if you have) you should decide which one you want to keep: all others will be deleted.

In fact you create one feature from several features each time the combination (concatenated text string) of id, latitude and longitue is the same, thus when the same item is in the same place.