How to make awk or sed not split substrings with quoted spaces?

Question

linux

There is a file where strings can contain substrings delimited by double quotes.
These substrings can be either with or without spaces.
awk does not accept quotes and separates such substrings by spaces.
Example:
cat test.txt abc
"line1" where flick is "line 2" lmnop
bav "line 3" where flick is "line 4" lmnop
cat test.txt | awk '{print $1":"$3":"$4":"$6}'
abc:where:jzik:2" ab
:3":where:"string
to get:
abc:where:jzik:lmnop baw
:where: zhzik: lmnop
Please help.

Answer 1

Alternatively, use sed to remove quoted substrings

Answer 2

Why not first remove the extra substrings and then substitute the required separator instead of spaces?
cat test.txt | sed -E 's/(["]+[a-zA-Za-zA-Z0-9 ]+["]+)//g; s/+/:/g'

Answer 3

Possible without sed and without awk

cat test.txt | while read; do eval 'for word in '$REPLY'; do echo -n "$word"|tr " " "_"; echo -n " "; done' | cut -d " " --output-delimiter=":" -f 1,3,4,6;done