Copy And Paste Function Messes Up Because Of Custom Sort / Filter?

what I do with excel: I have an excel sheet that has over 18,000 rows in it. Since it would be a nightmare to scroll around to find what I want, I use the Custom Sort and Filter options under Editing>Sort&Filter. So for example, I can omit 17,800 rows using a specific setting so that I can work with a more reasonable 200 rows. Moreover, the 200 rows comes from all over the spreadsheet. Meaning their row numbers are not always consecutive.

Here's the problem: Whenever I try to copy anything from this "edited or filtered" excel sheet, the resulting paste is not an exact copy. Excel perfectly copies the first rows up until the point where the row numbers ceases to be consecutive. So, the copy function messes up somehow when the data being copied comes from a different section of the original 18,000 rows.

In case this isn't clear enough...

Let's say that the original file has rows 1,2,3,4,5,6,7,8,9,10

Once I filter/custom sort, I see rows 1,2,3,8,9,10

When I try to copy/paste 2,3,8,9, excel copies 2,3, but messes up the rest of the 8,9. And I end up with a totally useless copy that's generally shorter than it's supposed to be.