General meaning (to interpret or understand):
* Interpret
* Explain
* Analyze
* Understand
* Deem
* Regard
* Perceive
* See
* Take to mean
* Read
More formal or legal meaning (to interpret something in a particular way, especially in a legal context):
* Interpret
* Define
* Clarify
* Explain
* Translate
* Parse
* Construe
Informal meaning (to think of something in a certain way):
* See
* Take
* Think of
* View
* Consider
The best synonym for "construe" will depend on the specific context of your writing.