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Quick way to select rows with matching terms in a list in data frame in R

I have a data frame that has lists of lists that stores IDs:

a <- list(as.character(c("1","2","3")))
b <- list(as.character(c("2","3","5")))
c <- list(as.character(c("4","6","8")))
df = data.frame(NAME = c("A1", "A2", "A3"), stat = c(14, 15, 16)) 
df$IDs[1] <- a      
df$IDs[2] <- b   
df$IDs[3] <- c

Additionally, I have a list of characters which is a reference of IDs of my interest that I want to track:

x <- list(as.character(c("2","3")))

I would like to filter the initial data frame so that it will only contain the rows that have IDs of 2 and/or 3 in the ID column of the data frame (ie, x matching to df$ID; thereby in this case only the rows named A1 and A2 in this case).

The actual data frame has hundreds of rows so I would appreciate a shorter route than a loop if possible.
If you have a different approach as part of your suggestions (like wrangling the initial df a bit more), I'd also appreciate hearing them as well.

Many thanks in advance.

Using tidyverse

library(dplyr)
library(purrr)
df %>%
    filter(map_lgl(IDs, ~ any(unlist(x) %in% .x)))
  NAME stat     IDs
1   A1   14 1, 2, 3
2   A2   15 2, 3, 5

You could use sapply or mapply :

df[sapply(df$IDs, \(a) any(x[[1]] %in% a)), ]
df[mapply(\(a, b) any(a %in% b), x, df$IDs), ]
Output
#   NAME stat     IDs
# 1   A1   14 1, 2, 3
# 2   A2   15 2, 3, 5

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