If you don't want to reformat the part of the line that you don't chop off, the best solution I can think of is written in my answer in:
How to print all the columns after a particular number using awk?
It chops what is before the given field number N, and prints all the rest of the line, including field number N and maintaining the original spacing (it does not reformat). It doesn't mater if the string of the field appears also somewhere else in the line.
Define a function:
fromField () {
awk -v m="\x01" -v N="$1" '{$N=m$N; print substr($0,index($0,m)+1)}'
}
And use it like this:
$ echo " bat bi iru lau bost " | fromField 3
iru lau bost
$ echo " bat bi iru lau bost " | fromField 2
bi iru lau bost
Output maintains everything, including trailing spaces
In you particular case:
svn status | grep '\!' | fromField 2 > removedProjs
If your file/stream does not contain new-line characters in the middle of the lines (you could be using a different Record Separator), you can use:
awk -v m="\x0a" -v N="3" '{$N=m$N ;print substr($0, index($0,m)+1)}'
The first case will fail only in files/streams that contain the rare hexadecimal char number 1