Often it takes me a long time to figure out what someone has said. I tend to "store" such things and process them later.
In the most extreme cases, someone has said something, and I do not process it for years. Then, suddenly, years later, I figure out what they said. Here is an example.
When I was a small child, something happened in the car. I asked what had happened. The reply was "dheyrzamaussinnit" said with a specific intonation. I repeated it with the same intonation, trying to understand it. Then I asked again. They said it again. I repeated it again. "dheyrzamaussinnit". It was kind of fun to say and had a neat sound to it, but I did not have any idea what it meant. When I asked if I could see (something I sometimes ask if I do not understand the verbal explanation), they told me that no, I couldn't.
When I was an adolescent, I finally figured it out. "Dheyrzamaussinnit" meant "There's a mouse in it". Of course they didn't want me to see -- there was a dead mouse in the car and that would have been yucky.
In less extreme cases, it takes seconds or minutes to process something. Sometimes it takes days, weeks, or months. In that case, it took years.
I store words and phrases that make no sense to me, and I store them exactly "as heard". This makes it so that, whenever my language processing and whatever else it takes finally kicks in, I have a greater chance of understanding something. I also tend to memorise things related to the event, such as the exact position I was in in the living room at the time of the "dheyrzamaussinnit" episode.
In the "short delay" cases, sometimes by the time I have asked "What?" and am getting halfway through the explanation, I have already figured out what was said. Delays of various lengths happen to me on a daily basis.
One thing that is very frustrating with this kind of delay, is that sometimes I need more time than I am given to process speech. If I do not have the time to process what is being said to me, I can wind up overloaded quickly because the other person, without knowing that I am having difficulty processing their speech, is already on to the next sentence (or paragraph) while I am still attempting to understand the first one. I may be able to repeat the speech back as it was said, but I will not fully comprehend the meaning until later.
CAPD.