[USER (data scientist)]: Great, now let's filter the data to get only the past 5 years. Please filter the 'melbourne_housing' DataFrame to include only records from the past 5 years and save this subset as a pickle file.
My template of code snippet is:

---BEGIN CODE TEMPLATE---

import matplotlib.pyplot as plt
import pandas as pd
import pickle

melbourne_housing = pd.read_csv("melb_data.csv") 

# YOUR SOLUTION BEGIN:
<code1>
[GENERATE YOUR CODE]
</code1>
# YOUR SOLUTION END:

print(past_5_years)

# save data
pickle.dump(past_5_years,open("./pred_result/past_5_years.pkl","wb"))

---END CODE TEMPLATE---

[YOU (AI assistant)]: Sure, here's how you can filter the data to get the records from the past 5 years: 
