diff --git a/doc/release_notes.rst b/doc/release_notes.rst
index 69564ac6..baa71260 100644
--- a/doc/release_notes.rst
+++ b/doc/release_notes.rst
@@ -1,8 +1,11 @@
 Release Notes
 =============
 
-.. Upcoming Version
-.. ----------------
+Upcoming Version
+----------------
+
+* Fix the `slice_size` argument in the `solve` function. The argument was not properly passed to the `to_file` function.
+* Fix the slicing of constraints in case the term dimension is larger than the leading constraint coordinate dimension.
 
 Version 0.4.0
 --------------
diff --git a/linopy/common.py b/linopy/common.py
index d8bc313c..27bc76a1 100644
--- a/linopy/common.py
+++ b/linopy/common.py
@@ -506,6 +506,11 @@ def iterate_slices(
     if slice_dims is None:
         slice_dims = list(getattr(ds, "coord_dims", ds.dims))
 
+    if not set(slice_dims).issubset(ds.dims):
+        raise ValueError(
+            "Invalid slice dimensions. Must be a subset of the dataset dimensions."
+        )
+
     # Calculate the total number of elements in the dataset
     size = np.prod([ds.sizes[dim] for dim in ds.dims], dtype=int)
 
@@ -517,7 +522,8 @@ def iterate_slices(
     n_slices = max(size // slice_size, 1)
 
     # leading dimension (the dimension with the largest size)
-    leading_dim = max(ds.sizes, key=ds.sizes.get)  # type: ignore
+    sizes = {dim: ds.sizes[dim] for dim in slice_dims}
+    leading_dim = max(sizes, key=sizes.get)  # type: ignore
     size_of_leading_dim = ds.sizes[leading_dim]
 
     if size_of_leading_dim < n_slices:
diff --git a/linopy/model.py b/linopy/model.py
index 160a16e3..bb9b41ee 100644
--- a/linopy/model.py
+++ b/linopy/model.py
@@ -1124,7 +1124,9 @@ def solve(
                     env=env,
                 )
             else:
-                problem_fn = self.to_file(to_path(problem_fn), io_api)
+                problem_fn = self.to_file(
+                    to_path(problem_fn), io_api, slice_size=slice_size
+                )
                 result = solver.solve_problem_from_file(
                     problem_fn=to_path(problem_fn),
                     solution_fn=to_path(solution_fn),
diff --git a/test/test_common.py b/test/test_common.py
index 7b23286c..730713c6 100644
--- a/test/test_common.py
+++ b/test/test_common.py
@@ -475,11 +475,11 @@ def test_iterate_slices_basic():
 
 def test_iterate_slices_with_exclude_dims():
     ds = xr.Dataset(
-        {"var": (("x", "y"), np.random.rand(10, 10))},  # noqa: NPY002
-        coords={"x": np.arange(10), "y": np.arange(10)},
+        {"var": (("x", "y"), np.random.rand(10, 20))},  # noqa: NPY002
+        coords={"x": np.arange(10), "y": np.arange(20)},
     )
     slices = list(iterate_slices(ds, slice_size=20, slice_dims=["x"]))
-    assert len(slices) == 5
+    assert len(slices) == 10
     for s in slices:
         assert isinstance(s, xr.Dataset)
         assert set(s.dims) == set(ds.dims)
@@ -499,11 +499,13 @@ def test_iterate_slices_large_max_size():
 
 def test_iterate_slices_small_max_size():
     ds = xr.Dataset(
-        {"var": (("x", "y"), np.random.rand(10, 10))},  # noqa: NPY002
-        coords={"x": np.arange(10), "y": np.arange(10)},
+        {"var": (("x", "y"), np.random.rand(10, 20))},  # noqa: NPY002
+        coords={"x": np.arange(10), "y": np.arange(20)},
     )
-    slices = list(iterate_slices(ds, slice_size=8, slice_dims=[]))
-    assert len(slices) == 10
+    slices = list(iterate_slices(ds, slice_size=8, slice_dims=["x"]))
+    assert (
+        len(slices) == 10
+    )  # goes to the smallest slice possible which is 1 for the x dimension
     for s in slices:
         assert isinstance(s, xr.Dataset)
         assert set(s.dims) == set(ds.dims)
@@ -520,16 +522,16 @@ def test_iterate_slices_slice_size_none():
         assert ds.equals(s)
 
 
-def test_iterate_slices_no_slice_dims():
+def test_iterate_slices_invalid_slice_dims():
     ds = xr.Dataset(
         {"var": (("x", "y"), np.random.rand(10, 10))},  # noqa: NPY002
         coords={"x": np.arange(10), "y": np.arange(10)},
     )
-    slices = list(iterate_slices(ds, slice_size=50, slice_dims=[]))
-    assert len(slices) == 2
-    for s in slices:
-        assert isinstance(s, xr.Dataset)
-        assert set(s.dims) == set(ds.dims)
+    with pytest.raises(ValueError):
+        list(iterate_slices(ds, slice_size=50, slice_dims=[]))
+
+    with pytest.raises(ValueError):
+        list(iterate_slices(ds, slice_size=50, slice_dims=["z"]))
 
 
 def test_get_dims_with_index_levels():