Sure, here's an implementation of the "invert_sl" function that takes a list or a set as an input and returns a set if it is a list and a list if it is a set:

```python
def invert_sl(input):
    if isinstance(input, list):
        return set(input)
    elif isinstance(input, set):
        return list(input)
    else:
        raise TypeError("Input must be a list or a set")
```

Here's how you can use this function:

```python
my_list = [1, 2, 3, 3, 4, 5]
my_set = {1, 2, 3, 4, 5}

# Convert list to set
new_set = invert_sl(my_list)
print(new_set)  # output: {1, 2, 3, 4, 5}

# Convert set to list
new_list = invert_sl(my_set)
print(new_list)  # output: [1, 2, 3, 4, 5]
```

The function first checks if the input is a list or a set using the isinstance() function. If the input is a list, it returns a set using the set() function. If the input is a set, it returns a list using the list() function. If the input is neither a list nor a set, it raises a TypeError.
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