Ok, so looking this over now in excel, it makes better sense what you were trying to explain, thanks for sharing the data/formulas. There's a few ways to go about this, but honestly I probably would have done something similar (and have so) in my time with a messy nested formula. So here's the options I can think of, learning from my headache
1) Keep the insanely nested formula like you did, but either add a AND to account for the next right cell <>"" or just shroud the whole formula in IFERROR(..... , "") so the VALUE isn't glaring at the end. This really doesn't address simplifying things like you asked, so it's really just cosmetic. Also cosmetic is your "in 3" or "in 30" doesn't match AV AW between rows 3 and 4... but that's typo probably.
2) The simplest answer is this: since you're doing the same thing over that range on each row, comparing the left to right dates with the 3 or 30, but in a single cell... Why not apply just that basic comparison formula, but auto-fill drag the formula over to the right so it floats (relative reference), and does the same check over the range for each neighboring columns?. So say in AV5 insert
=IFERROR(IF(W5+$AV$3>X5,"Present", "No Present"), "")
then drag that to the right to cover all the other comparisons.
You'll end up with No Present No Present No Present Present.... or blanks across that range
Then you just add another column to COUNTIF (using present as a criteria) or MATCH (for "present" which will stop at the first encountered Present moving left to right over the range) over that horizontal range for "Present", and it'll essentially capture result that you were going for in your messy nested formula.
3) Use VBA to do the comparisons for you in a loop over the W through AU. It would actually be a double loop, first across the row, then repeat on the next row. If it finds a "Present" situation, it'll exit that row's loop and insert Present in that cell. So no nested formula needed, but a bit of coding.
If it's your sheet and you control it, it's easier just to do 2) and avoid the headache of messy formulas altogether!