diff --git a/grayskull/utils.py b/grayskull/utils.py
index 44dff95c0..7100f98d3 100644
--- a/grayskull/utils.py
+++ b/grayskull/utils.py
@@ -125,13 +125,20 @@ def rm_duplicated_deps(all_requirements: Union[list, set, None]) -> Optional[lis
     # as it should be added.
     # (This is order-preserving since dicts are ordered by first insertion.)
     new_reqs: dict[str, str] = {}
-    re_split = re.compile(r"\s+|>|=|<|~|!|#")
+    re_split = re.compile(r"\s+(|>|=|<|~|!|#)+")
     for dep in all_requirements:
         if dep.strip().startswith(("{{", "<{")):
             new_reqs[dep] = dep
             continue
-        dep_name = re_split.split(dep.strip())[0].strip()
+        dep_name, *constrains = re_split.split(dep.strip())
+        dep_name = dep_name.strip()
+        constrains = [
+            c.strip()
+            for c in constrains
+            if c.strip() not in {"=*", "==*", "*", "*.*", "*.*.*", ""}
+        ]
         canonicalized = dep_name.replace("_", "-").lower()
+        constrains.insert(0, dep_name)
         if canonicalized in new_reqs:
             # In order to break ties deterministically, we prioritize the requirement
             # which is alphanumerically lowest. This happens to prioritize the "-"
@@ -140,10 +147,10 @@ def rm_duplicated_deps(all_requirements: Union[list, set, None]) -> Optional[lis
             # keep "importlib-metadata" because it is alphabetically lower.
             previous_req = new_reqs[canonicalized]
             if len(dep) > len(previous_req) or "-" in dep_name:
-                new_reqs[canonicalized] = dep
+                new_reqs[canonicalized] = " ".join(constrains)
         else:
-            new_reqs[canonicalized] = dep
-    return list(new_reqs.values())
+            new_reqs[canonicalized] = " ".join(constrains)
+    return [re.sub(r"\s+(#)", "  \\1", v.strip()) for v in new_reqs.values()]
 
 
 def format_dependencies(all_dependencies: List, name: str) -> List:
@@ -162,7 +169,7 @@ def format_dependencies(all_dependencies: List, name: str) -> List:
     for req in all_dependencies:
         match_req = re_deps.match(req)
         deps_name = req
-        if deps_name.replace("-", "_") == name.replace("-", "_"):
+        if name is not None and deps_name.replace("-", "_") == name.replace("-", "_"):
             continue
         if match_req:
             match_req = match_req.groups()
diff --git a/tests/test_pypi.py b/tests/test_pypi.py
index e537f4947..aed04c8e7 100644
--- a/tests/test_pypi.py
+++ b/tests/test_pypi.py
@@ -126,7 +126,7 @@ def test_extract_pypi_requirements(pypi_metadata, recipe_config):
             "pathlib2 >=2.2.0  # [py<36]",
             "importlib-metadata >=0.12  # [py<38]",
             "atomicwrites >=1.0  # [win]",
-            "colorama   # [win]",
+            "colorama  # [win]",
         ]
     )
 
diff --git a/tests/test_utils.py b/tests/test_utils.py
index a08757915..575f101b8 100644
--- a/tests/test_utils.py
+++ b/tests/test_utils.py
@@ -125,3 +125,9 @@ def test_rm_duplicated_deps():
     assert rm_duplicated_deps([]) is None
     # my-crazy-pkg is preferred because "my-crazy-pkg" < "my_craZy-pkg":
     assert rm_duplicated_deps(["my_craZy-pkg", "my-crazy-pkg"]) == ["my-crazy-pkg"]
+
+
+def test_rm_dupliate_deps_with_star():
+    assert rm_duplicated_deps(["typing-extensions", "typing_extensions *"]) == [
+        "typing_extensions"
+    ]