Usings multiple conditions in select (dplyr)

I want to choose certain columns of a dataframe with dplyr::select() using contains() more than ones. I know there are other ways to solve it, but I wonder whether this is possible inside select(). An example:

df <- data.frame(column1= 1:10, col2= 1:10, c3= 1:10)
library(dplyr)
names(select(df, contains("col") & contains("1")))

This gives an error but I would like the function to give "column1". Is this possible within dplyr::select() without any regex usage?

I expected that select() would allow a similiar appraoch as filter() where we can set multiple conditions with operators, i.e. something like filter(df, column1 %in% 1:5 & col2 != 2).

Is there an easy way to rewrite the function in order to be able to pass multiple conditions?