I really don't know what happens to citric acid in lemons or other fruits. I would not even be surprised if it increases in 20 days as the fruit loses water. Apart from that any change would be biochemical. But what I don't know. Of course if the citric acid is being turned into another acid, you might not see the change when you are measuring only acid.
I have to say I was at first bit sceptical about measuring it by such an unspecific method as alkali titration, when the juice will contain rather a mixture of things. What you would be measuring would be the total all substances in the juice that deprotonate between pH about 2, the pH of the juice, and pH 8.5, the pH of the phenolphthalein colour change. That would include any organic acids, and about half of the amino acids. But apparently citric acid is so predominant that this is sometimes done. I saw a protocol for it here.
http://www.easychem.com.au/the-acidic-environment/acid-base-definitions/titration-experiment Of course even if most of the acid is citric acid if there is only a small change, it is hard to say what that represents. It could be significant, but you wouldn't be sure what of.
I'd think the first thing to do without waiting 20 days would be to do the experiment with half a dozen lemons to get an idea of the variability. You sure don't want to use just one lemon each day. You might want to standardise as much as possible by always using fruit only within a certain weight range or length range. I'd also play around with heating your extract maybe placing in boiling water for a minute or more, making up volume of any water loss, then centrifuging which should get rid of proteins and gunk not helpful to have in your titrations.
If it were me and I had some serious reason for wanting to know how the citric acid concentration varies I would be measuring by some more specific method. That means most obviously an enzymic method - that means the reaction involving an enzyme specific for citric acid or citrate that involves or is coupled to a reaction that gives a change measurable in a colorimeter or spectrophotometer. Chemical companies that you find on line advertise kits for this, but they are quite expensive, about £150 for 100 assays I think. Even with an enzymic method, I would test that a likely interference, particularly malic acid, isn't reacting too.
If you have a pH meter it might be amusing to test the effects of diluting your juice and seeing if it follows the square root law discussed just a few posts down. In any case let us know of your results and After you have finish the project.