One requirement of a systematic review or a scoping review is that they be replicable. Because of this, it is required that you record your search. This record does not have to be included in the appendices of your review, but you do need to have if asked for.
The easiest way to accomplish this is via an excel or google worksheet. See example below:
This differs from an official search strategy in that an official search strategy is a far more detailed account of how a search was formulated and ran across an individual database.