diff --git a/archivebox/parsers/generic_txt.py b/archivebox/parsers/generic_txt.py
index 61d1973f..22c805dd 100644
--- a/archivebox/parsers/generic_txt.py
+++ b/archivebox/parsers/generic_txt.py
@@ -43,3 +43,15 @@ def parse_generic_txt_export(text_file: IO[str]) -> Iterable[Link]:
                 tags=None,
                 sources=[text_file.name],
             )
+
+            # look inside the URL for any sub-urls, e.g. for archive.org links
+            # https://web.archive.org/web/20200531203453/https://www.reddit.com/r/socialism/comments/gu24ke/nypd_officers_claim_they_are_protecting_the_rule/fsfq0sw/
+            # -> https://www.reddit.com/r/socialism/comments/gu24ke/nypd_officers_claim_they_are_protecting_the_rule/fsfq0sw/
+            for url in re.findall(URL_REGEX, line[1:]):
+                yield Link(
+                    url=htmldecode(url),
+                    timestamp=str(datetime.now().timestamp()),
+                    title=None,
+                    tags=None,
+                    sources=[text_file.name],
+                )