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In this example -- no doubt yours will be far more cluttered, with more pictures and other activities -- you can see on this rather bare Activity log list has a string of things that can be removed. You can either hide things from your timeline, or delete them altogether.
Wherever possible, we will delete what we can. But you can always hide things from your timeline instead. If anything, it might be easier to hide than delete, seeing as hiding content is far more prevalent in Facebook's options than the ability to delete, particularly if the content that tags you belongs to someone else.