I'm programming a site in PHP/MySQL that gets search results for products via API from an external site. This site also will have it's own products and the owners of the site want the search results to be inter-connected.
If someone searches for VIDEO, ordered by date then the results should be all in order regardless of the source it came from.
eg.
July 31 - Video A - our database July 30 - Video B - via API July 29 - Video C - via API July 28 - Video D - our database ...
The problem I'm having is figuring out a way to do this effectively especially regarding viewing multiple pages of results. If someone clicks to the 2nd page of results then I need to figure out the last item on the first page of results (and the last item from the API), then only get the items from the API starting after the last API item viewed on the previous page and then do the same for our database results and re-combine them again.
In order to avoid this complex algorithm, another idea I had was to limit the results to a large amount - like 500 results and grab them all at once and order them. Then if the user goes forward a few pages, I do not have to re-grab all the data.
Does anyone have suggestions on good algorithms to use to combine two search results?